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
Cao, Huai-Dong; Liu, Tianbo; Xie, Junming Complete gradient expanding Ricci solitons with finite asymptotic scalar curvature ratio. (English) Zbl 1508.53098 Calc. Var. Partial Differ. Equ. 62, No. 2, Paper No. 48, 19 p. (2023). MSC: 53E20 53C42 35C08 PDFBibTeX XMLCite \textit{H.-D. Cao} et al., Calc. Var. Partial Differ. Equ. 62, No. 2, Paper No. 48, 19 p. (2023; Zbl 1508.53098) Full Text: DOI arXiv
Cao, Huai-Dong; Liu, Tianbo Curvature estimates for 4-dimensional complete gradient expanding Ricci solitons. (English) Zbl 1501.53062 J. Reine Angew. Math. 790, 115-135 (2022). MSC: 53C25 53E20 35K55 PDFBibTeX XMLCite \textit{H.-D. Cao} and \textit{T. Liu}, J. Reine Angew. Math. 790, 115--135 (2022; Zbl 1501.53062) Full Text: DOI arXiv
Cao, Huai-Dong; Sun, Xiaofeng; Yau, Shing-Tung; Zhang, Yingying On deformations of Fano manifolds. (English) Zbl 07570345 Math. Ann. 383, No. 1-2, 809-836 (2022). MSC: 14J45 14Dxx 32Q20 53C55 PDFBibTeX XMLCite \textit{H.-D. Cao} et al., Math. Ann. 383, No. 1--2, 809--836 (2022; Zbl 07570345) Full Text: DOI arXiv
Cao, Huai-Dong; Ribeiro, Ernani Jr; Zhou, Detang Four-dimensional complete gradient shrinking Ricci solitons. (English) Zbl 1476.53068 J. Reine Angew. Math. 778, 127-144 (2021). MSC: 53C25 53E20 35K55 PDFBibTeX XMLCite \textit{H.-D. Cao} et al., J. Reine Angew. Math. 778, 127--144 (2021; Zbl 1476.53068) Full Text: DOI arXiv
Cao, Huai-Dong; Yu, Jiangtao On complete gradient steady Ricci solitons with vanishing \(D\)-tensor. (English) Zbl 1462.53029 Proc. Am. Math. Soc. 149, No. 4, 1733-1742 (2021). MSC: 53C21 53C25 53E20 PDFBibTeX XMLCite \textit{H.-D. Cao} and \textit{J. Yu}, Proc. Am. Math. Soc. 149, No. 4, 1733--1742 (2021; Zbl 1462.53029) Full Text: DOI arXiv
Cao, H.-D.; Sun, X.; Yau, S.-T.; Zhang, Y. Weil-Petersson metrics on deformation spaces. (English) Zbl 1524.58005 J. Iran. Math. Soc. 1, No. 1, 117-128 (2020). MSC: 58D27 53C55 32G05 32Q20 32G15 53C43 PDFBibTeX XMLCite \textit{H. D. Cao} et al., J. Iran. Math. Soc. 1, No. 1, 117--128 (2020; Zbl 1524.58005) Full Text: DOI
Cao, Huai-Dong; Chang, Shu-Cheng; Chen, Chih-Wei \(C_0\)-positivity and a classification of closed three-dimensional CR torsion solitons. (English) Zbl 1458.32029 Math. Z. 296, No. 3-4, 1065-1080 (2020); correction ibid. 296, No. 3-4, 1825 (2020). MSC: 32V05 32V20 PDFBibTeX XMLCite \textit{H.-D. Cao} et al., Math. Z. 296, No. 3--4, 1065--1080 (2020; Zbl 1458.32029) Full Text: DOI arXiv
Cao, Huai-Dong; Cui, Xin Curvature estimates for four-dimensional gradient steady Ricci solitons. (English) Zbl 1444.53036 J. Geom. Anal. 30, No. 1, 511-525 (2020). MSC: 53C25 53C21 53E20 PDFBibTeX XMLCite \textit{H.-D. Cao} and \textit{X. Cui}, J. Geom. Anal. 30, No. 1, 511--525 (2020; Zbl 1444.53036) Full Text: DOI arXiv
Cao, Huai-Dong; Chang, Shu-Cheng; Chen, Chih-Wei On three-dimensional CR Yamabe solitons. (English) Zbl 1391.32054 J. Geom. Anal. 28, No. 1, 335-359 (2018). MSC: 32V05 32V20 PDFBibTeX XMLCite \textit{H.-D. Cao} et al., J. Geom. Anal. 28, No. 1, 335--359 (2018; Zbl 1391.32054) Full Text: DOI arXiv
Cao, Huai-Dong; Zhu, Meng Aronson-Bénilan estimates for the fast diffusion equation under the Ricci flow. (English) Zbl 1482.35052 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 170, 258-281 (2018). MSC: 35B45 35K59 35K65 35R01 53E20 35B09 PDFBibTeX XMLCite \textit{H.-D. Cao} and \textit{M. Zhu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 170, 258--281 (2018; Zbl 1482.35052) Full Text: DOI arXiv
Cao, Huai-Dong; He, Chenxu Martin compactification of a complete surface with negative curvature. (English) Zbl 1353.53043 Math. Ann. 366, No. 3-4, 1467-1512 (2016). MSC: 53C21 31C35 33C05 58J50 PDFBibTeX XMLCite \textit{H.-D. Cao} and \textit{C. He}, Math. Ann. 366, No. 3--4, 1467--1512 (2016; Zbl 1353.53043) Full Text: DOI arXiv
Cao, Huai-Dong; Zhu, Meng Aronson-Bénilan estimates for the porous medium equation under the Ricci flow. (English. French summary) Zbl 1323.53070 J. Math. Pures Appl. (9) 104, No. 4, 729-748 (2015). MSC: 53C44 58J35 35K59 PDFBibTeX XMLCite \textit{H.-D. Cao} and \textit{M. Zhu}, J. Math. Pures Appl. (9) 104, No. 4, 729--748 (2015; Zbl 1323.53070) Full Text: DOI arXiv
Cao, Huai-Dong; Catino, Giovanni; Chen, Qiang; Mantegazza, Carlo; Mazzieri, Lorenzo Bach-flat gradient steady Ricci solitons. (English) Zbl 1294.53042 Calc. Var. Partial Differ. Equ. 49, No. 1-2, 125-138 (2014). Reviewer: Wolfgang Kühnel (Stuttgart) MSC: 53C25 53C44 PDFBibTeX XMLCite \textit{H.-D. Cao} et al., Calc. Var. Partial Differ. Equ. 49, No. 1--2, 125--138 (2014; Zbl 1294.53042) Full Text: DOI arXiv
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
Cao, Huai-Dong; Chen, Qiang On Bach-flat gradient shrinking Ricci solitons. (English) Zbl 1277.53036 Duke Math. J. 162, No. 6, 1149-1169 (2013). Reviewer: Marian Hotloś (Wrocław) MSC: 53C21 53C20 53C25 PDFBibTeX XMLCite \textit{H.-D. Cao} and \textit{Q. Chen}, Duke Math. J. 162, No. 6, 1149--1169 (2013; Zbl 1277.53036) Full Text: DOI arXiv Euclid
Cao, H.-D.; Keller, J. About the Calabi problem: a finite-dimensional approach. (English) Zbl 1308.32025 J. Eur. Math. Soc. (JEMS) 15, No. 3, 1033-1065 (2013). Reviewer: Alessandro Ghigi (Milano) MSC: 32Q15 32W20 53C44 53C55 PDFBibTeX XMLCite \textit{H. D. Cao} and \textit{J. Keller}, J. Eur. Math. Soc. (JEMS) 15, No. 3, 1033--1065 (2013; Zbl 1308.32025) Full Text: DOI arXiv
Cao, Huai-Dong; Li, Haizhong A gap theorem for self-shrinkers of the mean curvature flow in arbitrary codimension. (English) Zbl 1271.53064 Calc. Var. Partial Differ. Equ. 46, No. 3-4, 879-889 (2013). Reviewer: Shu-Yu Hsu (Min-hsiung) MSC: 53C44 53A10 PDFBibTeX XMLCite \textit{H.-D. Cao} and \textit{H. Li}, Calc. Var. Partial Differ. Equ. 46, No. 3--4, 879--889 (2013; Zbl 1271.53064) Full Text: DOI arXiv
Cao, Huai-Dong; Zhu, Meng On second variation of Perelman’s Ricci shrinker entropy. (English) Zbl 1252.53074 Math. Ann. 353, No. 3, 747-763 (2012). Reviewer: Sergei Platonov (Petrozavodsk) MSC: 53C44 PDFBibTeX XMLCite \textit{H.-D. Cao} and \textit{M. Zhu}, Math. Ann. 353, No. 3, 747--763 (2012; Zbl 1252.53074) Full Text: DOI arXiv
Cao, Huai-Dong; Chen, Qiang On locally conformally flat gradient steady Ricci solitons. (English) Zbl 1245.53038 Trans. Am. Math. Soc. 364, No. 5, 2377-2391 (2012). Reviewer: Wolfgang Kühnel (Stuttgart) MSC: 53C21 53C25 PDFBibTeX XMLCite \textit{H.-D. Cao} and \textit{Q. Chen}, Trans. Am. Math. Soc. 364, No. 5, 2377--2391 (2012; Zbl 1245.53038) Full Text: DOI arXiv
Cao, Huai-Dong; Sesum, N. A compactness result for Kähler Ricci solitons. (English) Zbl 1127.53055 Adv. Math. 211, No. 2, 794-818 (2007). Reviewer: I. G. Nikolaev (Urbana) MSC: 53C44 53C21 58D17 PDFBibTeX XMLCite \textit{H.-D. Cao} and \textit{N. Sesum}, Adv. Math. 211, No. 2, 794--818 (2007; Zbl 1127.53055) Full Text: DOI arXiv
Cao, Huai-Dong Geometry of Ricci solitons. (English) Zbl 1102.53025 Chin. Ann. Math., Ser. B 27, No. 2, 121-142 (2006). Reviewer: R. E. Stong (Charlottesville) MSC: 53C21 PDFBibTeX XMLCite \textit{H.-D. Cao}, Chin. Ann. Math., Ser. B 27, No. 2, 121--142 (2006; Zbl 1102.53025) Full Text: DOI
Cao, Huai-Dong; Ni, Lei Matrix Li-Yau-Hamilton estimates for the heat equation on Kähler manifolds. (English) Zbl 1083.58024 Math. Ann. 331, No. 4, 795-807 (2005). Reviewer: Christine Guenther (Forest Grove) MSC: 58J35 35K05 53C55 PDFBibTeX XMLCite \textit{H.-D. Cao} and \textit{L. Ni}, Math. Ann. 331, No. 4, 795--807 (2005; Zbl 1083.58024) Full Text: DOI arXiv
Cao, Huai-Dong; Chen, Bing-Long; Zhu, Xi-Ping Ricci flow on compact Kähler manifolds of positive bisectional curvature. (English) Zbl 1046.53020 C. R., Math., Acad. Sci. Paris 337, No. 12, 781-784 (2003). Reviewer: Liviu Ornea (Albuquerque) MSC: 53C21 53C55 PDFBibTeX XMLCite \textit{H.-D. Cao} et al., C. R., Math., Acad. Sci. Paris 337, No. 12, 781--784 (2003; Zbl 1046.53020) Full Text: DOI arXiv
Cao, Huaidong; Zhou, Jian Formal Frobenius manifold structure on equivariant cohomology. (English) Zbl 0981.53086 Commun. Contemp. Math. 1, No. 4, 535-552 (1999). MSC: 53D45 55N91 53D17 53C55 PDFBibTeX XMLCite \textit{H. Cao} and \textit{J. Zhou}, Commun. Contemp. Math. 1, No. 4, 535--552 (1999; Zbl 0981.53086) Full Text: DOI arXiv
Cao, Huai-Dong; Zhou, Jian On quantum de Rham cohomology theory. (English) Zbl 0926.53033 Electron. Res. Announc. Am. Math. Soc. 5, No. 4, 24-34 (1999). MSC: 53D17 81R05 53D35 53D50 PDFBibTeX XMLCite \textit{H.-D. Cao} and \textit{J. Zhou}, Electron. Res. Announc. Am. Math. Soc. 5, No. 4, 24--34 (1999; Zbl 0926.53033) Full Text: DOI arXiv EuDML
Cao, Huai-Dong; Chow, Bennett Recent developments on the Ricci flow. (English) Zbl 0926.53016 Bull. Am. Math. Soc., New Ser. 36, No. 1, 59-74 (1999). Reviewer: C.Bär (Freiburg) MSC: 53C21 58J35 35K55 PDFBibTeX XMLCite \textit{H.-D. Cao} and \textit{B. Chow}, Bull. Am. Math. Soc., New Ser. 36, No. 1, 59--74 (1999; Zbl 0926.53016) Full Text: DOI arXiv
Cao, Huai-Dong On Harnack’s inequalities for the Kähler-Ricci flow. (English) Zbl 0779.53043 Invent. Math. 109, No. 2, 247-263 (1992). Reviewer: J.Urbas (Canberra) MSC: 53C55 PDFBibTeX XMLCite \textit{H.-D. Cao}, Invent. Math. 109, No. 2, 247--263 (1992; Zbl 0779.53043) Full Text: DOI EuDML
Cao, Huai-Dong; Mok, Ngaiming Holomorphic immersions between compact hyperbolic space forms. (English) Zbl 0698.53035 Invent. Math. 100, No. 1, 49-61 (1990). Reviewer: J.Berndt MSC: 53C35 32M15 53C40 PDFBibTeX XMLCite \textit{H.-D. Cao} and \textit{N. Mok}, Invent. Math. 100, No. 1, 49--61 (1990; Zbl 0698.53035) Full Text: DOI EuDML
Cao, Huai-Dong; Chow, Bennett Compact Kähler manifolds with nonnegative curvature operator. (English) Zbl 0604.53026 Invent. Math. 83, 553-556 (1986). Reviewer: K.Ueno MSC: 53C55 32Q99 PDFBibTeX XMLCite \textit{H.-D. Cao} and \textit{B. Chow}, Invent. Math. 83, 553--556 (1986; Zbl 0604.53026) Full Text: DOI EuDML
Cao, Huai-Dong Deformation of Kähler metrics to Kähler-Einstein metrics on compact Kähler manifolds. (English) Zbl 0574.53042 Invent. Math. 81, 359-372 (1985). MSC: 53C55 58J35 PDFBibTeX XMLCite \textit{H.-D. Cao}, Invent. Math. 81, 359--372 (1985; Zbl 0574.53042) Full Text: DOI EuDML