Kotschwar, Brett; Wang, Lu A uniqueness theorem for asymptotically cylindrical shrinking Ricci solitons. (English) Zbl 07822938 J. Differ. Geom. 126, No. 1, 215-295 (2024). MSC: 53C25 PDFBibTeX XMLCite \textit{B. Kotschwar} and \textit{L. Wang}, J. Differ. Geom. 126, No. 1, 215--295 (2024; Zbl 07822938) Full Text: DOI arXiv Link
Li, Xiaolong Manifolds with nonnegative curvature operator of the second kind. (English) Zbl 07821481 Commun. Contemp. Math. 26, No. 3, Article ID 2350003, 26 p. (2024). MSC: 53C20 53C21 53C24 PDFBibTeX XMLCite \textit{X. Li}, Commun. Contemp. Math. 26, No. 3, Article ID 2350003, 26 p. (2024; Zbl 07821481) Full Text: DOI arXiv
Lynch, Stephen; Abrego, Andoni Royo Ancient solutions of Ricci flow with type I curvature growth. (English) Zbl 07818661 J. Geom. Anal. 34, No. 5, Paper No. 119, 17 p. (2024). MSC: 53E20 53C20 PDFBibTeX XMLCite \textit{S. Lynch} and \textit{A. R. Abrego}, J. Geom. Anal. 34, No. 5, Paper No. 119, 17 p. (2024; Zbl 07818661) Full Text: DOI arXiv OA License
Ho, Pak Tung; Pyo, Juncheol First eigenvalues of free boundary hypersurfaces in the unit ball along the inverse mean curvature flow. (English) Zbl 07815001 Differ. Geom. Appl. 93, Article ID 102095, 8 p. (2024). MSC: 58C40 53E10 PDFBibTeX XMLCite \textit{P. T. Ho} and \textit{J. Pyo}, Differ. Geom. Appl. 93, Article ID 102095, 8 p. (2024; Zbl 07815001) Full Text: DOI
Li, Xiaolong; Zhang, Qi S. Matrix Li-Yau-Hamilton estimates under Ricci flow and parabolic frequency. (English) Zbl 07813047 Calc. Var. Partial Differ. Equ. 63, No. 3, Paper No. 63, 38 p. (2024). MSC: 53E20 58J35 35K05 PDFBibTeX XMLCite \textit{X. Li} and \textit{Q. S. Zhang}, Calc. Var. Partial Differ. Equ. 63, No. 3, Paper No. 63, 38 p. (2024; Zbl 07813047) Full Text: DOI arXiv OA License
Ho, Pak Tung; Pyo, Juncheol Evolution of the first eigenvalue along the inverse mean curvature flow in space forms. (English) Zbl 07782577 J. Math. Anal. Appl. 532, No. 1, Article ID 127980, 19 p. (2024). Reviewer: Prashanta Garain (Odisha) MSC: 53E10 58C40 PDFBibTeX XMLCite \textit{P. T. Ho} and \textit{J. Pyo}, J. Math. Anal. Appl. 532, No. 1, Article ID 127980, 19 p. (2024; Zbl 07782577) Full Text: DOI
Lei, Li; Xu, Hongwei Mean curvature flow of arbitrary codimension in complex projective spaces. (English) Zbl 07783659 Chin. Ann. Math., Ser. B 44, No. 6, 857-892 (2023). MSC: 53E10 53C40 53C20 58J35 PDFBibTeX XMLCite \textit{L. Lei} and \textit{H. Xu}, Chin. Ann. Math., Ser. B 44, No. 6, 857--892 (2023; Zbl 07783659) Full Text: DOI arXiv
Nienhaus, Jan; Petersen, Peter; Wink, Matthias Betti numbers and the curvature operator of the second kind. (English) Zbl 07773467 J. Lond. Math. Soc., II. Ser. 108, No. 4, 1642-1668 (2023). Reviewer: Owen Dearricott (Melbourne) MSC: 53C20 58J50 PDFBibTeX XMLCite \textit{J. Nienhaus} et al., J. Lond. Math. Soc., II. Ser. 108, No. 4, 1642--1668 (2023; Zbl 07773467) Full Text: DOI arXiv OA License
Cao, Huai-Dong; Xie, Junming Four-dimensional complete gradient shrinking Ricci solitons with half positive isotropic curvature. (English) Zbl 1528.53091 Math. Z. 305, No. 2, Paper No. 25, 22 p. (2023). Reviewer: Xiaolong Li (Wichita) MSC: 53E20 53E30 PDFBibTeX XMLCite \textit{H.-D. Cao} and \textit{J. Xie}, Math. Z. 305, No. 2, Paper No. 25, 22 p. (2023; Zbl 1528.53091) Full Text: DOI arXiv
Cho, Jae Ho; Li, Yu Ancient solutions to the Ricci flow with isotropic curvature conditions. (English) Zbl 1527.53087 Math. Ann. 387, No. 1-2, 1009-1041 (2023). Reviewer: Xiaolong Li (Wichita) MSC: 53E20 53E30 PDFBibTeX XMLCite \textit{J. H. Cho} and \textit{Y. Li}, Math. Ann. 387, No. 1--2, 1009--1041 (2023; Zbl 1527.53087) Full Text: DOI arXiv
Franz, Giada; Trinca, Federico On the stability of minimal submanifolds in conformal spheres. (English) Zbl 1521.53025 J. Geom. Anal. 33, No. 10, Paper No. 335, 16 p. (2023). MSC: 53C18 53C42 53C40 53C20 PDFBibTeX XMLCite \textit{G. Franz} and \textit{F. Trinca}, J. Geom. Anal. 33, No. 10, Paper No. 335, 16 p. (2023; Zbl 1521.53025) Full Text: DOI arXiv
Ma, Yuanqing; Wang, Bing Ricci curvature integrals, local functionals, and the Ricci flow. (English) Zbl 1519.53078 Trans. Am. Math. Soc., Ser. B 10, 944-987 (2023). MSC: 53E20 PDFBibTeX XMLCite \textit{Y. Ma} and \textit{B. Wang}, Trans. Am. Math. Soc., Ser. B 10, 944--987 (2023; Zbl 1519.53078) Full Text: DOI arXiv
Chodosh, Otis; Li, Chao; Liokumovich, Yevgeny Classifying sufficiently connected PSC manifolds in 4 and 5 dimensions. (English) Zbl 1521.53026 Geom. Topol. 27, No. 4, 1635-1655 (2023). Reviewer: Georges Habib (Fanar) MSC: 53C20 53C42 PDFBibTeX XMLCite \textit{O. Chodosh} et al., Geom. Topol. 27, No. 4, 1635--1655 (2023; Zbl 1521.53026) Full Text: DOI arXiv
Chan, Pak-Yeung; Ma, Zilu; Zhang, Yongjia A local Sobolev inequality on Ricci flow and its applications. (English) Zbl 1517.53082 J. Funct. Anal. 285, No. 5, Article ID 109995, 36 p. (2023). Reviewer: Huansong Zhou (Wuhan) MSC: 53E20 46E35 PDFBibTeX XMLCite \textit{P.-Y. Chan} et al., J. Funct. Anal. 285, No. 5, Article ID 109995, 36 p. (2023; Zbl 1517.53082) Full Text: DOI arXiv
Cao, Xiaodong; Gursky, Matthew J.; Tran, Hung Curvature of the second kind and a conjecture of Nishikawa. (English) Zbl 1517.53042 Comment. Math. Helv. 98, No. 1, 195-216 (2023). Reviewer: Benjamin McKay (Cork) MSC: 53C21 53C25 PDFBibTeX XMLCite \textit{X. Cao} et al., Comment. Math. Helv. 98, No. 1, 195--216 (2023; Zbl 1517.53042) Full Text: DOI arXiv
Cabrera Pacheco, Armando J.; Cederbaum, Carla; Gehring, Penelope; Diaz, Alejandro Peñuela Constructing electrically charged Riemannian manifolds with minimal boundary, prescribed asymptotics, and controlled mass. (English) Zbl 1514.53075 J. Geom. Phys. 185, Article ID 104746, 36 p. (2023). MSC: 53C20 53Z05 83C40 PDFBibTeX XMLCite \textit{A. J. Cabrera Pacheco} et al., J. Geom. Phys. 185, Article ID 104746, 36 p. (2023; Zbl 1514.53075) Full Text: DOI arXiv
Gururaja, H. A.; Kumar, Niteesh Complete hypersurfaces of constant isotropic curvature in space forms. (English) Zbl 1507.53058 J. Math. Anal. Appl. 520, No. 2, Article ID 126876, 14 p. (2023). MSC: 53C40 PDFBibTeX XMLCite \textit{H. A. Gururaja} and \textit{N. Kumar}, J. Math. Anal. Appl. 520, No. 2, Article ID 126876, 14 p. (2023; Zbl 1507.53058) Full Text: DOI arXiv
Stanfield, James Positive Hermitian curvature flow on special linear groups and perfect solitons. (English) Zbl 1514.53129 Proc. Am. Math. Soc. 151, No. 2, 835-851 (2023). MSC: 53E30 53C55 PDFBibTeX XMLCite \textit{J. Stanfield}, Proc. Am. Math. Soc. 151, No. 2, 835--851 (2023; Zbl 1514.53129) Full Text: DOI arXiv
Brendle, Simon Singularity models in the three-dimensional Ricci flow. (English) Zbl 1499.53343 Kang, Nam-Gyu (ed.) et al., Recent progress in mathematics. Singapore: Springer. KIAS Springer Ser. Math. 1, 87-118 (2022). MSC: 53E20 53C20 53C21 53-01 PDFBibTeX XMLCite \textit{S. Brendle}, KIAS Springer Ser. Math. 1, 87--118 (2022; Zbl 1499.53343) Full Text: DOI arXiv
Pyo, Juncheol The monotone property of the first nonzero eigenvalue of the \(p\)-Laplacian along the inverse mean curvature flow with forced term. (English) Zbl 1497.53142 East Asian Math. J. 38, No. 3, 331-338 (2022). MSC: 53E10 58J50 PDFBibTeX XMLCite \textit{J. Pyo}, East Asian Math. J. 38, No. 3, 331--338 (2022; Zbl 1497.53142) Full Text: DOI
Petersen, Peter; Wink, Matthias Tachibana-type theorems and special holonomy. (English) Zbl 1495.32060 Ann. Global Anal. Geom. 61, No. 4, 847-868 (2022). MSC: 32Q10 32Q15 32Q20 53C20 53C26 PDFBibTeX XMLCite \textit{P. Petersen} and \textit{M. Wink}, Ann. Global Anal. Geom. 61, No. 4, 847--868 (2022; Zbl 1495.32060) Full Text: DOI arXiv
Chen, Eric Convergence of the Ricci flow on asymptotically flat manifolds with integral curvature pinching. (English) Zbl 1494.53103 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 23, No. 1, 15-48 (2022). MSC: 53E20 53C21 58J35 PDFBibTeX XMLCite \textit{E. Chen}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 23, No. 1, 15--48 (2022; Zbl 1494.53103) Full Text: DOI arXiv
Wu, Guoqiang; Zhang, Jiaogen A note on the extension of Ricci flow. (English) Zbl 1491.53051 Geom. Dedicata 216, No. 3, Paper No. 28, 9 p. (2022). MSC: 53C21 53E20 PDFBibTeX XMLCite \textit{G. Wu} and \textit{J. Zhang}, Geom. Dedicata 216, No. 3, Paper No. 28, 9 p. (2022; Zbl 1491.53051) Full Text: DOI
Chow, Tsz-Kiu Aaron Ricci flow on manifolds with boundary with arbitrary initial metric. (English) Zbl 1521.53071 J. Reine Angew. Math. 783, 159-216 (2022). Reviewer: Louis Yudowitz (Stockholm) MSC: 53E20 35R01 58J60 PDFBibTeX XMLCite \textit{T.-K. A. Chow}, J. Reine Angew. Math. 783, 159--216 (2022; Zbl 1521.53071) Full Text: DOI arXiv
Sbiti, Sammy On the Ricci flow of homogeneous metrics on spheres. (English) Zbl 1490.53112 Ann. Global Anal. Geom. 61, No. 3, 499-517 (2022). MSC: 53E20 35K55 PDFBibTeX XMLCite \textit{S. Sbiti}, Ann. Global Anal. Geom. 61, No. 3, 499--517 (2022; Zbl 1490.53112) Full Text: DOI arXiv
Kelleher, Casey Lynn; Tian, Gang Almost Hermitian Ricci flow. (English) Zbl 1487.53121 J. Geom. Anal. 32, No. 4, Paper No. 107, 22 p. (2022). Reviewer: Riccardo Piovani (Parma) MSC: 53E30 53E20 53C55 53C21 35A15 53B35 PDFBibTeX XMLCite \textit{C. L. Kelleher} and \textit{G. Tian}, J. Geom. Anal. 32, No. 4, Paper No. 107, 22 p. (2022; Zbl 1487.53121) Full Text: DOI arXiv
Cabrera Pacheco, Armando J.; Cederbaum, Carla A survey on extensions of Riemannian manifolds and Bartnik mass estimates. (English) Zbl 1495.53001 Galaz-García, Fernando (ed.) et al., Mexican mathematicians in the world. Trends and recent contributions. IV meeting. Reunión de matemáticos mexicanos en el mundo, Casa Matemática Oaxaca, Oaxaca, Mexico, June 10–15, 2018. Providence, RI: American Mathematical Society (AMS); México: Sociedad Matemática Mexicana. Contemp. Math. 775, 1-30 (2021). MSC: 53-02 53C21 53C50 PDFBibTeX XMLCite \textit{A. J. Cabrera Pacheco} and \textit{C. Cederbaum}, Contemp. Math. 775, 1--30 (2021; Zbl 1495.53001) Full Text: DOI arXiv
Wallach, Nolan R. An evolution in six stages based on triality: a mathematical memoir. (English) Zbl 1495.22006 Int. J. Math. 32, No. 12, Article ID 2140005, 42 p. (2021). Reviewer: V. V. Gorbatsevich (Moskva) MSC: 22E45 22E46 22E30 12E15 16H05 17A35 17-02 22-02 17C40 53C30 PDFBibTeX XMLCite \textit{N. R. Wallach}, Int. J. Math. 32, No. 12, Article ID 2140005, 42 p. (2021; Zbl 1495.22006) Full Text: DOI
Jiang, Wen Shuai Finite diffeomorphism types of four dimensional Ricci flow with bounded scalar curvature. (English) Zbl 1484.53118 Acta Math. Sin., Engl. Ser. 37, No. 11, 1751-1767 (2021). MSC: 53E20 PDFBibTeX XMLCite \textit{W. S. Jiang}, Acta Math. Sin., Engl. Ser. 37, No. 11, 1751--1767 (2021; Zbl 1484.53118) Full Text: DOI
He, Fei; Lee, Man-Chun Weakly PIC1 manifolds with maximal volume growth. (English) Zbl 1482.53123 J. Geom. Anal. 31, No. 11, 10868-10885 (2021). Reviewer: Vasyl Gorkaviy (Kharkov) MSC: 53E20 53C20 PDFBibTeX XMLCite \textit{F. He} and \textit{M.-C. Lee}, J. Geom. Anal. 31, No. 11, 10868--10885 (2021; Zbl 1482.53123) Full Text: DOI arXiv
Corro, Diego; Garcia, Karla; Günther, Martin; Kordaß, Jan-Bernhard Bundles with even-dimensional spherical space form as fibers and fiberwise quarter pinched Riemannian metrics. (English) Zbl 1477.57025 Proc. Am. Math. Soc. 149, No. 12, 5407-5416 (2021). Reviewer: Xueqi Wang (Beijing) MSC: 57R22 53C10 PDFBibTeX XMLCite \textit{D. Corro} et al., Proc. Am. Math. Soc. 149, No. 12, 5407--5416 (2021; Zbl 1477.57025) Full Text: DOI arXiv
Akutagawa, Kazuo The Yamabe invariant. (English. Japanese original) Zbl 1471.53001 Sugaku Expo. 34, No. 1, 1-34 (2021); translation from Sūgaku 66, No. 1, 31-60 (2014). MSC: 53-02 53C21 53C18 58J60 PDFBibTeX XMLCite \textit{K. Akutagawa}, Sugaku Expo. 34, No. 1, 1--34 (2021; Zbl 1471.53001); translation from Sūgaku 66, No. 1, 31--60 (2014) Full Text: DOI
Buzano, Reto; Haslhofer, Robert; Hershkovits, Or The moduli space of two-convex embedded spheres. (English) Zbl 1480.53104 J. Differ. Geom. 118, No. 2, 189-221 (2021). Reviewer: Shu-Yu Hsu (Chiayi) MSC: 53E10 53A07 58D27 PDFBibTeX XMLCite \textit{R. Buzano} et al., J. Differ. Geom. 118, No. 2, 189--221 (2021; Zbl 1480.53104) Full Text: DOI arXiv
Simon, Miles; Topping, Peter M. Local mollification of Riemannian metrics using Ricci flow, and Ricci limit spaces. (English) Zbl 1470.53083 Geom. Topol. 25, No. 2, 913-948 (2021). MSC: 53E20 35K40 35K55 53C23 58J35 PDFBibTeX XMLCite \textit{M. Simon} and \textit{P. M. Topping}, Geom. Topol. 25, No. 2, 913--948 (2021; Zbl 1470.53083) Full Text: DOI arXiv
Ustinovskiy, Yury Lie-algebraic curvature conditions preserved by the Hermitian curvature flow. (English) Zbl 1465.53099 Math. Ann. 379, No. 3-4, 1713-1745 (2021). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 53E30 53C55 PDFBibTeX XMLCite \textit{Y. Ustinovskiy}, Math. Ann. 379, No. 3--4, 1713--1745 (2021; Zbl 1465.53099) Full Text: DOI arXiv
Cui, Qing; Sun, Linlin A note on rigidity of Einstein four-manifolds with positive sectional curvature. (English) Zbl 1465.53062 Manuscr. Math. 165, No. 1-2, 269-282 (2021). MSC: 53C25 53C24 PDFBibTeX XMLCite \textit{Q. Cui} and \textit{L. Sun}, Manuscr. Math. 165, No. 1--2, 269--282 (2021; Zbl 1465.53062) Full Text: DOI
Diógenes, R.; Ribeiro, E.; Rufino, E. Four-manifolds with positive curvature. (English) Zbl 1464.53045 Glasg. Math. J. 63, No. 2, 245-257 (2021). MSC: 53C20 57K40 PDFBibTeX XMLCite \textit{R. Diógenes} et al., Glasg. Math. J. 63, No. 2, 245--257 (2021; Zbl 1464.53045) Full Text: DOI arXiv
Chaubey, Sudhakar K. Characterization of perfect fluid spacetimes admitting gradient \(\eta\)-Ricci and gradient Einstein solitons. (English) Zbl 1464.53058 J. Geom. Phys. 162, Article ID 104069, 10 p. (2021). MSC: 53C25 53E20 53C50 53Z05 83C20 PDFBibTeX XMLCite \textit{S. K. Chaubey}, J. Geom. Phys. 162, Article ID 104069, 10 p. (2021; Zbl 1464.53058) Full Text: DOI
Petersen, Peter; Wink, Matthias New curvature conditions for the Bochner technique. (English) Zbl 1462.53026 Invent. Math. 224, No. 1, 33-54 (2021). MSC: 53C20 53C21 53C23 58A14 PDFBibTeX XMLCite \textit{P. Petersen} and \textit{M. Wink}, Invent. Math. 224, No. 1, 33--54 (2021; Zbl 1462.53026) Full Text: DOI arXiv
Li, Jinnan; Gao, Xiang Classification of Ricci solitons. (English) Zbl 1452.42002 Balkan J. Geom. Appl. 25, No. 1, 61-83 (2020). MSC: 42A20 42A32 PDFBibTeX XMLCite \textit{J. Li} and \textit{X. Gao}, Balkan J. Geom. Appl. 25, No. 1, 61--83 (2020; Zbl 1452.42002) Full Text: Link
Fine, Joel; Premoselli, Bruno Examples of compact Einstein four-manifolds with negative curvature. (English) Zbl 1467.53055 J. Am. Math. Soc. 33, No. 4, 991-1038 (2020). Reviewer: Adela-Gabriela Mihai (Bucureşti) MSC: 53C25 53C21 58J60 PDFBibTeX XMLCite \textit{J. Fine} and \textit{B. Premoselli}, J. Am. Math. Soc. 33, No. 4, 991--1038 (2020; Zbl 1467.53055) Full Text: DOI arXiv Backlinks: MO
McLeod, Andrew D.; Topping, Peter M. Pyramid Ricci flow in higher dimensions. (English) Zbl 1459.53086 Math. Z. 296, No. 1-2, 511-523 (2020). Reviewer: Costache Apreutesei (Iaşi) MSC: 53E20 53C20 PDFBibTeX XMLCite \textit{A. D. McLeod} and \textit{P. M. Topping}, Math. Z. 296, No. 1--2, 511--523 (2020; Zbl 1459.53086) Full Text: DOI arXiv
Sun, Jun; Sun, Linlin Sphere theorems for Lagrangian and Legendrian submanifolds. (English) Zbl 1446.53057 Calc. Var. Partial Differ. Equ. 59, No. 4, Paper No. 125, 29 p. (2020). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 53C55 53D12 32Q25 53C20 53C40 PDFBibTeX XMLCite \textit{J. Sun} and \textit{L. Sun}, Calc. Var. Partial Differ. Equ. 59, No. 4, Paper No. 125, 29 p. (2020; Zbl 1446.53057) Full Text: DOI arXiv
Pu, Dong; Xu, Hongwei Surface diffusion flow of arbitrary codimension in space forms. (English) Zbl 1441.53036 Pac. J. Math. 306, No. 1, 291-320 (2020). MSC: 53C24 53E99 PDFBibTeX XMLCite \textit{D. Pu} and \textit{H. Xu}, Pac. J. Math. 306, No. 1, 291--320 (2020; Zbl 1441.53036) Full Text: DOI
Li, Xiaolong; Ni, Lei Kähler-Ricci shrinkers and ancient solutions with nonnegative orthogonal bisectional curvature. (English. French summary) Zbl 1439.53084 J. Math. Pures Appl. (9) 138, 28-45 (2020). MSC: 53E30 53C55 53C20 32Q15 PDFBibTeX XMLCite \textit{X. Li} and \textit{L. Ni}, J. Math. Pures Appl. (9) 138, 28--45 (2020; Zbl 1439.53084) Full Text: DOI arXiv
Cao, Xiaodong; Chow, Bennett; Zhang, Yongjia Three-dimensional noncompact \(\kappa\)-solutions that are Type I forward and backward. (English) Zbl 1436.53072 Proc. Am. Math. Soc. 148, No. 6, 2595-2600 (2020). MSC: 53E20 PDFBibTeX XMLCite \textit{X. Cao} et al., Proc. Am. Math. Soc. 148, No. 6, 2595--2600 (2020; Zbl 1436.53072) Full Text: DOI arXiv
Zhang, Zhuhong Einstein four-manifolds with sectional curvature bounded from above. (English) Zbl 1443.53026 J. Geom. Anal. 30, No. 1, 182-196 (2020). MSC: 53C24 53C25 PDFBibTeX XMLCite \textit{Z. Zhang}, J. Geom. Anal. 30, No. 1, 182--196 (2020; Zbl 1443.53026) Full Text: DOI
Ozuch, Tristan Perelman’s functionals on cones. Construction of type III Ricci flows coming out of cones. (English) Zbl 1435.53069 J. Geom. Anal. 30, No. 1, 1-53 (2020). MSC: 53E20 PDFBibTeX XMLCite \textit{T. Ozuch}, J. Geom. Anal. 30, No. 1, 1--53 (2020; Zbl 1435.53069) Full Text: DOI arXiv
Seshadri, Harish Differential geometry in India. (English) Zbl 1444.53004 Indian J. Pure Appl. Math. 50, No. 3, 795-799 (2019). MSC: 53-03 01A32 PDFBibTeX XMLCite \textit{H. Seshadri}, Indian J. Pure Appl. Math. 50, No. 3, 795--799 (2019; Zbl 1444.53004) Full Text: DOI
Zhu, Xiang; Xu, Xu Combinatorial Calabi flow with surgery on surfaces. (English) Zbl 1428.53110 Calc. Var. Partial Differ. Equ. 58, No. 6, Paper No. 195, 20 p. (2019). MSC: 53E99 52B70 PDFBibTeX XMLCite \textit{X. Zhu} and \textit{X. Xu}, Calc. Var. Partial Differ. Equ. 58, No. 6, Paper No. 195, 20 p. (2019; Zbl 1428.53110) Full Text: DOI arXiv
Hou, Zhong Hua; Zhan, Xin; Qiu, Wang-hua Pinching problems of minimal submanifolds in a product space. (English) Zbl 1425.53069 Vietnam J. Math. 47, No. 2, 227-253 (2019). MSC: 53C40 53C42 PDFBibTeX XMLCite \textit{Z. H. Hou} et al., Vietnam J. Math. 47, No. 2, 227--253 (2019; Zbl 1425.53069) Full Text: DOI
Brendle, Simon Ricci flow with surgery on manifolds with positive isotropic curvature. (English) Zbl 1423.53080 Ann. Math. (2) 190, No. 2, 465-559 (2019). MSC: 53C44 PDFBibTeX XMLCite \textit{S. Brendle}, Ann. Math. (2) 190, No. 2, 465--559 (2019; Zbl 1423.53080) Full Text: DOI arXiv
Bamler, Richard H.; Cabezas-Rivas, Esther; Wilking, Burkhard The Ricci flow under almost non-negative curvature conditions. (English) Zbl 1418.53071 Invent. Math. 217, No. 1, 95-126 (2019). MSC: 53C44 PDFBibTeX XMLCite \textit{R. H. Bamler} et al., Invent. Math. 217, No. 1, 95--126 (2019; Zbl 1418.53071) Full Text: DOI arXiv
Diógenes, R.; Ribeiro, E. jun. Four-dimensional manifolds with pinched positive sectional curvature. (English) Zbl 1415.53032 Geom. Dedicata 200, 321-330 (2019). MSC: 53C25 53C20 53C21 53C65 PDFBibTeX XMLCite \textit{R. Diógenes} and \textit{E. Ribeiro jun.}, Geom. Dedicata 200, 321--330 (2019; Zbl 1415.53032) Full Text: DOI
Moore, John Douglas; Ream, Robert Minimal two-spheres of low index in manifolds with positive complex sectional curvature. (English) Zbl 1428.53074 Math. Z. 291, No. 3-4, 1295-1335 (2019). Reviewer: Liviu Popescu (Craiova) MSC: 53C42 53C20 58E05 PDFBibTeX XMLCite \textit{J. D. Moore} and \textit{R. Ream}, Math. Z. 291, No. 3--4, 1295--1335 (2019; Zbl 1428.53074) Full Text: DOI arXiv
Cui, Qing; Sun, Linlin Some differentiable sphere theorems. (English) Zbl 1409.53035 Calc. Var. Partial Differ. Equ. 58, No. 2, Paper No. 43, 24 p. (2019). Reviewer: Andreas Arvanitoyeorgos (Patras) MSC: 53C20 53C40 PDFBibTeX XMLCite \textit{Q. Cui} and \textit{L. Sun}, Calc. Var. Partial Differ. Equ. 58, No. 2, Paper No. 43, 24 p. (2019; Zbl 1409.53035) Full Text: DOI
Lai, Yi Ricci flow under local almost non-negative curvature conditions. (English) Zbl 1406.53071 Adv. Math. 343, 353-392 (2019). MSC: 53C44 35K55 PDFBibTeX XMLCite \textit{Y. Lai}, Adv. Math. 343, 353--392 (2019; Zbl 1406.53071) Full Text: DOI arXiv
Böhm, Christoph; Lafuente, Ramiro A. Immortal homogeneous Ricci flows. (English) Zbl 1447.53078 Invent. Math. 212, No. 2, 461-529 (2018). Reviewer: Hong Huang (Beijing) MSC: 53E20 PDFBibTeX XMLCite \textit{C. Böhm} and \textit{R. A. Lafuente}, Invent. Math. 212, No. 2, 461--529 (2018; Zbl 1447.53078) Full Text: DOI arXiv
Wu, Guoqiang Scalar curvature bound and compactness results for Ricci harmonic solitons. (English) Zbl 1393.53041 Proc. Am. Math. Soc. 146, No. 8, 3473-3483 (2018). MSC: 53C25 53C20 53C24 PDFBibTeX XMLCite \textit{G. Wu}, Proc. Am. Math. Soc. 146, No. 8, 3473--3483 (2018; Zbl 1393.53041) Full Text: DOI
Pacelli Bessa, G.; Gimeno, Vicent; Palmer, Vicente Asymptotically extrinsic tamed submanifolds. (English) Zbl 1386.53037 J. Geom. Anal. 28, No. 1, 448-472 (2018). MSC: 53C20 53C40 53C42 PDFBibTeX XMLCite \textit{G. Pacelli Bessa} et al., J. Geom. Anal. 28, No. 1, 448--472 (2018; Zbl 1386.53037) Full Text: DOI arXiv Link
Chen, Lina; Rong, Xiaochun; Xu, Shicheng Quantitative volume space form rigidity under lower Ricci curvature bound. II. (English) Zbl 1394.53045 Trans. Am. Math. Soc. 370, No. 6, 4509-4523 (2018). Reviewer: Marian Hotloś (Wrocław) MSC: 53C21 53C23 53C24 PDFBibTeX XMLCite \textit{L. Chen} et al., Trans. Am. Math. Soc. 370, No. 6, 4509--4523 (2018; Zbl 1394.53045) Full Text: DOI arXiv
Brendle, Simon Ricci flow with surgery in higher dimensions. (English) Zbl 1393.53055 Ann. Math. (2) 187, No. 1, 263-299 (2018). MSC: 53C44 53C20 53C21 PDFBibTeX XMLCite \textit{S. Brendle}, Ann. Math. (2) 187, No. 1, 263--299 (2018; Zbl 1393.53055) Full Text: DOI arXiv
Wu, Guoqiang; Zhang, Shijin Volume growth of shrinking gradient Ricci-harmonic soliton. (English) Zbl 1375.53060 Result. Math. 72, No. 1-2, 205-223 (2017). MSC: 53C25 53C20 53C24 PDFBibTeX XMLCite \textit{G. Wu} and \textit{S. Zhang}, Result. Math. 72, No. 1--2, 205--223 (2017; Zbl 1375.53060) Full Text: DOI
Bamler, Richard H.; Maximo, Davi Almost-rigidity and the extinction time of positively curved Ricci flows. (English) Zbl 1394.53066 Math. Ann. 369, No. 1-2, 899-911 (2017). Reviewer: Pascual Lucas Saorín (Murcia) MSC: 53C44 PDFBibTeX XMLCite \textit{R. H. Bamler} and \textit{D. Maximo}, Math. Ann. 369, No. 1--2, 899--911 (2017; Zbl 1394.53066) Full Text: DOI arXiv
Wan, Jianming Manifolds tightly covered by two metric balls. (English) Zbl 1372.53038 Differ. Geom. Appl. 52, 158-166 (2017). Reviewer: Peter B. Gilkey (Eugene) MSC: 53C20 PDFBibTeX XMLCite \textit{J. Wan}, Differ. Geom. Appl. 52, 158--166 (2017; Zbl 1372.53038) Full Text: DOI arXiv
Farrell, Thomas; Gang, Zhou; Knopf, Dan; Ontaneda, Pedro Sphere bundles with \(1/4\)-pinched fiberwise metrics. (English) Zbl 1369.57032 Trans. Am. Math. Soc. 369, No. 9, 6613-6630 (2017). Reviewer: Andrew Bucki (Edmond) MSC: 57R22 53C44 58D17 53C20 PDFBibTeX XMLCite \textit{T. Farrell} et al., Trans. Am. Math. Soc. 369, No. 9, 6613--6630 (2017; Zbl 1369.57032) Full Text: DOI arXiv
Streets, Jeffrey Generalized geometry, \(T\)-duality, and renormalization group flow. (English) Zbl 1358.53071 J. Geom. Phys. 114, 506-522 (2017). MSC: 53C44 53C80 PDFBibTeX XMLCite \textit{J. Streets}, J. Geom. Phys. 114, 506--522 (2017; Zbl 1358.53071) Full Text: DOI arXiv
Sinestrari, Carlo Singularities of three-dimensional Ricci flows. (English) Zbl 1406.53075 Benedetti, Riccardo (ed.) et al., Ricci flow and geometric applications, Cetraro, Italy 2010. Based on lectures given at the summer school. Cham: Springer; Florence: Fondazione CIME (ISBN 978-3-319-42350-0/pbk; 978-3-319-42351-7/ebook). Lecture Notes in Mathematics 2166. CIME Foundation Subseries, 71-104 (2016). MSC: 53C44 53C25 PDFBibTeX XMLCite \textit{C. Sinestrari}, Lect. Notes Math. 2166, 71--104 (2016; Zbl 1406.53075) Full Text: DOI
Besson, Gérard The differentiable sphere theorem (after S. Brendle and R. Schoen). (English) Zbl 1406.53040 Benedetti, Riccardo (ed.) et al., Ricci flow and geometric applications, Cetraro, Italy 2010. Based on lectures given at the summer school. Cham: Springer; Florence: Fondazione CIME (ISBN 978-3-319-42350-0/pbk; 978-3-319-42351-7/ebook). Lecture Notes in Mathematics 2166. CIME Foundation Subseries, 1-19 (2016). MSC: 53C20 53C44 53-02 PDFBibTeX XMLCite \textit{G. Besson}, Lect. Notes Math. 2166, 1--19 (2016; Zbl 1406.53040) Full Text: DOI
Isenberg, James; Knopf, Dan; Šešum, Nataša Ricci flow neckpinches without rotational symmetry. (English) Zbl 1357.53078 Commun. Partial Differ. Equations 41, No. 12, 1860-1894 (2016). MSC: 53C44 PDFBibTeX XMLCite \textit{J. Isenberg} et al., Commun. Partial Differ. Equations 41, No. 12, 1860--1894 (2016; Zbl 1357.53078) Full Text: DOI arXiv
Chen, Bing-Long; Huang, Xian-Tao Four-manifolds with positive isotropic curvature. (English) Zbl 1446.53025 Front. Math. China 11, No. 5, 1123-1149 (2016). MSC: 53C20 53E20 57M50 PDFBibTeX XMLCite \textit{B.-L. Chen} and \textit{X.-T. Huang}, Front. Math. China 11, No. 5, 1123--1149 (2016; Zbl 1446.53025) Full Text: DOI
Chen, Bing-Long; Huang, Xian-Tao Path-connectedness of the moduli spaces of metrics with positive isotropic curvature on four-manifolds. (English) Zbl 1352.53028 Math. Ann. 366, No. 1-2, 819-851 (2016). Reviewer: Nabil L. Youssef (Giza) MSC: 53C20 53C44 57M50 58D17 57R18 PDFBibTeX XMLCite \textit{B.-L. Chen} and \textit{X.-T. Huang}, Math. Ann. 366, No. 1--2, 819--851 (2016; Zbl 1352.53028) Full Text: DOI arXiv
Ma, Li Global Kähler-Ricci flow on complete non-compact manifolds. (English) Zbl 1341.53100 Ann. Mat. Pura Appl. (4) 195, No. 3, 1011-1019 (2016). MSC: 53C44 32Q20 58E11 PDFBibTeX XMLCite \textit{L. Ma}, Ann. Mat. Pura Appl. (4) 195, No. 3, 1011--1019 (2016; Zbl 1341.53100) Full Text: DOI arXiv
Wylie, William Some curvature pinching results for Riemannian manifolds with density. (English) Zbl 1334.53036 Proc. Am. Math. Soc. 144, No. 2, 823-836 (2016). MSC: 53C25 53C20 PDFBibTeX XMLCite \textit{W. Wylie}, Proc. Am. Math. Soc. 144, No. 2, 823--836 (2016; Zbl 1334.53036) Full Text: DOI arXiv
Richard, Thomas; Seshadri, Harish Positive isotropic curvature and self-duality in dimension 4. (English) Zbl 1334.53035 Manuscr. Math. 149, No. 3-4, 443-457 (2016). MSC: 53C25 53C20 PDFBibTeX XMLCite \textit{T. Richard} and \textit{H. Seshadri}, Manuscr. Math. 149, No. 3--4, 443--457 (2016; Zbl 1334.53035) Full Text: DOI arXiv
He, Weiyong; Sun, Song Frankel conjecture and Sasaki geometry. (English) Zbl 1333.53057 Adv. Math. 291, 912-960 (2016). MSC: 53C25 53C55 PDFBibTeX XMLCite \textit{W. He} and \textit{S. Sun}, Adv. Math. 291, 912--960 (2016; Zbl 1333.53057) Full Text: DOI arXiv
Gu, Juan-Ru; Xu, Hong-Wei A sharp differentiable pinching theorem for submanifolds in space forms. (English) Zbl 1327.53070 Proc. Am. Math. Soc. 144, No. 1, 337-346 (2016). MSC: 53C40 53C20 53C24 PDFBibTeX XMLCite \textit{J.-R. Gu} and \textit{H.-W. Xu}, Proc. Am. Math. Soc. 144, No. 1, 337--346 (2016; Zbl 1327.53070) Full Text: DOI
Huang, Fei; Xu, Hongwei; Zhao, Entao Differentiable pinching theorems for submanifolds via Ricci flow. (English) Zbl 1334.53025 Tohoku Math. J. (2) 67, No. 4, 531-540 (2015). MSC: 53C20 53C40 53C44 PDFBibTeX XMLCite \textit{F. Huang} et al., Tôhoku Math. J. (2) 67, No. 4, 531--540 (2015; Zbl 1334.53025) Full Text: DOI Euclid
Cabezas-Rivas, Esther; Wilking, Burkhard How to produce a Ricci flow via Cheeger-Gromoll exhaustion. (English) Zbl 1351.53078 J. Eur. Math. Soc. (JEMS) 17, No. 12, 3153-3194 (2015). Reviewer: Eleonora Di Nezza (London) MSC: 53C44 35K45 58J35 PDFBibTeX XMLCite \textit{E. Cabezas-Rivas} and \textit{B. Wilking}, J. Eur. Math. Soc. (JEMS) 17, No. 12, 3153--3194 (2015; Zbl 1351.53078) Full Text: DOI arXiv
Deng, Yi Hua; Luo, Li Ping; Zhou, Li Jun Rigidity of Einstein manifolds and generalized quasi-Einstein manifolds. (English) Zbl 1337.53054 Ann. Pol. Math. 115, No. 3, 235-240 (2015). MSC: 53C25 53C21 PDFBibTeX XMLCite \textit{Y. H. Deng} et al., Ann. Pol. Math. 115, No. 3, 235--240 (2015; Zbl 1337.53054) Full Text: DOI
Xu, Guoyi Lower bound of Ricci flow’s existence time. (English) Zbl 1325.53092 Bull. Lond. Math. Soc. 47, No. 5, 759-770 (2015). MSC: 53C44 35K15 PDFBibTeX XMLCite \textit{G. Xu}, Bull. Lond. Math. Soc. 47, No. 5, 759--770 (2015; Zbl 1325.53092) Full Text: DOI arXiv
Zhu, Anqiang; Cheng, Liang A convergence result of Ricci flow on \(\mathbb{R}^{3}\) with warped product metric. (English) Zbl 1326.53093 J. Geom. Anal. 25, No. 2, 1282-1294 (2015). Reviewer: Corina Mohorianu (Iaşi) MSC: 53C44 53C42 57M50 PDFBibTeX XMLCite \textit{A. Zhu} and \textit{L. Cheng}, J. Geom. Anal. 25, No. 2, 1282--1294 (2015; Zbl 1326.53093) Full Text: DOI
Richard, Thomas; Seshadri, Harish Non-coercive Ricci flow invariant curvature cones. (English) Zbl 1314.53122 Proc. Am. Math. Soc. 143, No. 6, 2661-2674 (2015). MSC: 53C44 PDFBibTeX XMLCite \textit{T. Richard} and \textit{H. Seshadri}, Proc. Am. Math. Soc. 143, No. 6, 2661--2674 (2015; Zbl 1314.53122) Full Text: DOI arXiv
Bhattacharya, Atreyee On the curvature ODE associated to the Ricci flow. (English) Zbl 1317.53053 Geom. Dedicata 175, 189-209 (2015). Reviewer: Nabil L. Youssef (Giza) MSC: 53C21 53C20 PDFBibTeX XMLCite \textit{A. Bhattacharya}, Geom. Dedicata 175, 189--209 (2015; Zbl 1317.53053) Full Text: DOI arXiv
Zhang, Zhu-Hong Generalization of the Hamilton-Ivey estimate to the higher dimensional Ricci flow with a vanishing Weyl tensor. (English) Zbl 1314.53126 J. Math. Anal. Appl. 426, No. 2, 774-782 (2015). MSC: 53C44 35K55 PDFBibTeX XMLCite \textit{Z.-H. Zhang}, J. Math. Anal. Appl. 426, No. 2, 774--782 (2015; Zbl 1314.53126) Full Text: DOI
Kröncke, Klaus On the stability of Einstein manifolds. (English) Zbl 1311.53044 Ann. Global Anal. Geom. 47, No. 1, 81-98 (2015). Reviewer: Gheorghe Zet (Iaşi) MSC: 53C25 55R99 PDFBibTeX XMLCite \textit{K. Kröncke}, Ann. Global Anal. Geom. 47, No. 1, 81--98 (2015; Zbl 1311.53044) Full Text: DOI arXiv
Xu, Hongwei; Leng, Yan; Gu, Juanru Geometric and topological rigidity for compact submanifolds of odd dimension. (English) Zbl 1306.53025 Sci. China, Math. 57, No. 7, 1525-1538 (2014). Reviewer: Mohammad Hasan Shahid (New Delhi) MSC: 53C20 53C24 53C40 PDFBibTeX XMLCite \textit{H. Xu} et al., Sci. China, Math. 57, No. 7, 1525--1538 (2014; Zbl 1306.53025) Full Text: DOI
Xu, Hong-Wei; Gu, Juan-Ru Rigidity of Einstein manifolds with positive scalar curvature. (English) Zbl 1295.53041 Math. Ann. 358, No. 1-2, 169-193 (2014). MSC: 53C25 53C20 53C40 53C24 PDFBibTeX XMLCite \textit{H.-W. Xu} and \textit{J.-R. Gu}, Math. Ann. 358, No. 1--2, 169--193 (2014; Zbl 1295.53041) Full Text: DOI
Fong, Frederick Tsz-Ho Kähler-Ricci flow on projective bundles over Kähler-Einstein manifolds. (English) Zbl 1294.53061 Trans. Am. Math. Soc. 366, No. 2, 563-589 (2014). Reviewer: Carl Tipler (Brest) MSC: 53C44 53C55 53C21 PDFBibTeX XMLCite \textit{F. T. H. Fong}, Trans. Am. Math. Soc. 366, No. 2, 563--589 (2014; Zbl 1294.53061) Full Text: DOI arXiv Link
Cao, Huai-Dong The Kähler-Ricci flow on Fano manifolds. (English) Zbl 1285.53052 Boucksom, Sébastien (ed.) et al., An introduction to the Kähler-Ricci flow. Selected papers based on the presentations at several meetings of the ANR project MACK. Cham: Springer (ISBN 978-3-319-00818-9/pbk; 978-3-319-00819-6/ebook). Lecture Notes in Mathematics 2086, 239-297 (2013). Reviewer: Valentino Tosatti (Evanston) MSC: 53C44 32Q20 14J45 PDFBibTeX XMLCite \textit{H.-D. Cao}, Lect. Notes Math. 2086, 239--297 (2013; Zbl 1285.53052) Full Text: DOI arXiv
Xu, Hong-Wei; Gu, Juan-Ru Geometric, topological and differentiable rigidity of submanifolds in space forms. (English) Zbl 1283.53053 Geom. Funct. Anal. 23, No. 5, 1684-1703 (2013). Reviewer: Vladimir Yu. Rovenskij (Nesher) MSC: 53C40 53C20 53C24 PDFBibTeX XMLCite \textit{H.-W. Xu} and \textit{J.-R. Gu}, Geom. Funct. Anal. 23, No. 5, 1684--1703 (2013; Zbl 1283.53053) Full Text: DOI arXiv
Schmidt, Benjamin Positively curved manifolds with large conjugate radius. (English) Zbl 1279.53036 J. Topol. Anal. 5, No. 3, 333-344 (2013). Reviewer: Jürgen Berndt (London) MSC: 53C20 53C35 PDFBibTeX XMLCite \textit{B. Schmidt}, J. Topol. Anal. 5, No. 3, 333--344 (2013; Zbl 1279.53036) Full Text: DOI
Barbosa, Ezequiel R. A simple improvement of a differentiable classification result for complete submanifolds. (English) Zbl 1275.53049 J. Math. Soc. Japan 65, No. 3, 787-796 (2013). MSC: 53C40 PDFBibTeX XMLCite \textit{E. R. Barbosa}, J. Math. Soc. Japan 65, No. 3, 787--796 (2013; Zbl 1275.53049) Full Text: DOI Euclid
Yan, Jinwen; Zheng, Fangyang An extension theorem for real Kähler submanifolds in codimension 4. (English) Zbl 1275.53026 Mich. Math. J. 62, No. 2, 421-441 (2013). Reviewer: Constantin Călin (Iaşi) MSC: 53B25 53B35 PDFBibTeX XMLCite \textit{J. Yan} and \textit{F. Zheng}, Mich. Math. J. 62, No. 2, 421--441 (2013; Zbl 1275.53026) Full Text: DOI arXiv Euclid
Li, Qun; Wu, Damin; Zheng, Fangyang An example of compact Kähler manifold with nonnegative quadratic bisectional curvature. (English) Zbl 1276.32018 Proc. Am. Math. Soc. 141, No. 6, 2117-2126 (2013). Reviewer: Zbigniew Olszak (Wrocław) MSC: 32Q15 32Q20 53C55 PDFBibTeX XMLCite \textit{Q. Li} et al., Proc. Am. Math. Soc. 141, No. 6, 2117--2126 (2013; Zbl 1276.32018) Full Text: DOI arXiv
Gururaja, H. A.; Maity, Soma; Seshadri, Harish On Wilking’s criterion for the Ricci flow. (English) Zbl 1267.53068 Math. Z. 274, No. 1-2, 471-481 (2013). MSC: 53C44 53B20 PDFBibTeX XMLCite \textit{H. A. Gururaja} et al., Math. Z. 274, No. 1--2, 471--481 (2013; Zbl 1267.53068) Full Text: DOI arXiv
Li, Martin Man-Chun On complete stable minimal surfaces in 4-manifolds with positive isotropic curvature. (English) Zbl 1277.53009 Proc. Am. Math. Soc. 140, No. 8, 2843-2854 (2012). Reviewer: Magdalena Daniela Toda (Lubbock) MSC: 53A10 32Q10 PDFBibTeX XMLCite \textit{M. M. C. Li}, Proc. Am. Math. Soc. 140, No. 8, 2843--2854 (2012; Zbl 1277.53009) Full Text: DOI arXiv
Gururaja, H. A. Ricci flow of warped product metrics with positive isotropic curvature on \(S^{p+1} \times S^1\). (English) Zbl 1268.53071 Proc. Indian Acad. Sci., Math. Sci. 122, No. 4, 597-614 (2012). MSC: 53C44 PDFBibTeX XMLCite \textit{H. A. Gururaja}, Proc. Indian Acad. Sci., Math. Sci. 122, No. 4, 597--614 (2012; Zbl 1268.53071) Full Text: DOI
Hu, Xue; Shi, YuGuang Static flow on complete noncompact manifolds. I: Short-time existence and asymptotic expansions at conformal infinity. (English) Zbl 1271.53046 Sci. China, Math. 55, No. 9, 1883-1900 (2012). Reviewer: Volker Perlick (Lancaster) MSC: 53C25 83C05 53C50 PDFBibTeX XMLCite \textit{X. Hu} and \textit{Y. Shi}, Sci. China, Math. 55, No. 9, 1883--1900 (2012; Zbl 1271.53046) Full Text: DOI arXiv
Peng, Gang; Shao, Hongliang Manifolds with pinched 2-positive curvature operator. (English) Zbl 1259.53042 Front. Math. China 7, No. 5, 873-882 (2012). Reviewer: Peter B. Gilkey (Eugene) MSC: 53C21 PDFBibTeX XMLCite \textit{G. Peng} and \textit{H. Shao}, Front. Math. China 7, No. 5, 873--882 (2012; Zbl 1259.53042) Full Text: DOI