Chen, Yong; Zhang, Xi Pseudo-effective vector bundles with vanishing first Chern class on Astheno-Kähler manifolds. (English) Zbl 07783656 Chin. Ann. Math., Ser. B 44, No. 6, 819-826 (2023). MSC: 32L05 32J27 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{X. Zhang}, Chin. Ann. Math., Ser. B 44, No. 6, 819--826 (2023; Zbl 07783656) Full Text: DOI
Badiane, Papa; Zeriahi, Ahmed The eigenvalue problem for the complex Monge-Ampère operator. (English) Zbl 07754886 J. Geom. Anal. 33, No. 12, Paper No. 367, 44 p. (2023). Reviewer: Marek Jarnicki (Kraków) MSC: 32U05 32W20 PDFBibTeX XMLCite \textit{P. Badiane} and \textit{A. Zeriahi}, J. Geom. Anal. 33, No. 12, Paper No. 367, 44 p. (2023; Zbl 07754886) Full Text: DOI arXiv
Cheng, Jingrui; Xu, Yulun Interior \(W^{2, p}\) estimate for small perturbations to the complex Monge-Ampère equation. (English) Zbl 1523.32053 Calc. Var. Partial Differ. Equ. 62, No. 8, Paper No. 231, 46 p. (2023). MSC: 32U05 32W20 PDFBibTeX XMLCite \textit{J. Cheng} and \textit{Y. Xu}, Calc. Var. Partial Differ. Equ. 62, No. 8, Paper No. 231, 46 p. (2023; Zbl 1523.32053) Full Text: DOI arXiv
Shen, Zhenghan Semi-stable twisted holomorphic vector bundles over Gauduchon manifolds. (English) Zbl 07731024 Bull. Sci. Math. 187, Article ID 103288, 21 p. (2023). Reviewer: Georg Schumacher (Marburg) MSC: 32L05 32Q15 32Q20 53C07 PDFBibTeX XMLCite \textit{Z. Shen}, Bull. Sci. Math. 187, Article ID 103288, 21 p. (2023; Zbl 07731024) Full Text: DOI arXiv
Zhang, Jiao Gen Monge-Ampère type equations on almost Hermitian manifolds. (English) Zbl 1521.32032 Acta Math. Sin., Engl. Ser. 39, No. 5, 749-772 (2023). MSC: 32Q60 32W20 35B45 PDFBibTeX XMLCite \textit{J. G. Zhang}, Acta Math. Sin., Engl. Ser. 39, No. 5, 749--772 (2023; Zbl 1521.32032) Full Text: DOI arXiv
Li, Chang; Shen, Liangming; Zheng, Tao The Kähler-Ricci flow on log canonical pairs of general type. (English) Zbl 1527.14121 J. Funct. Anal. 285, No. 4, Article ID 109984, 33 p. (2023). Reviewer: Vladimir P. Kostov (Nice) MSC: 14-XX 32Sxx PDFBibTeX XMLCite \textit{C. Li} et al., J. Funct. Anal. 285, No. 4, Article ID 109984, 33 p. (2023; Zbl 1527.14121) Full Text: DOI
Franzinetti, Thomas Curvature of the completion of the space of Sasaki potentials. (English) Zbl 1509.31019 Publ. Mat., Barc. 67, No. 1, 447-468 (2023). MSC: 31C12 32W20 53C25 PDFBibTeX XMLCite \textit{T. Franzinetti}, Publ. Mat., Barc. 67, No. 1, 447--468 (2023; Zbl 1509.31019) Full Text: DOI arXiv
Chu, Jianchun; Huang, Liding; Zhang, Jiaogen Fully non-linear elliptic equations on compact almost Hermitian manifolds. (English) Zbl 1510.35125 Calc. Var. Partial Differ. Equ. 62, No. 3, Paper No. 105, 34 p. (2023). MSC: 35J60 32Q60 35B45 PDFBibTeX XMLCite \textit{J. Chu} et al., Calc. Var. Partial Differ. Equ. 62, No. 3, Paper No. 105, 34 p. (2023; Zbl 1510.35125) Full Text: DOI arXiv
Huang, Liding; Zhang, Jiaogen Fully nonlinear elliptic equations with gradient terms on compact almost Hermitian manifolds. (English) Zbl 07643504 Math. Z. 303, No. 2, Paper No. 36, 24 p. (2023). Reviewer: Sébastien Picard (Vancouver) MSC: 32Q15 53C15 35J60 PDFBibTeX XMLCite \textit{L. Huang} and \textit{J. Zhang}, Math. Z. 303, No. 2, Paper No. 36, 24 p. (2023; Zbl 07643504) Full Text: DOI arXiv
Zhou, Jundong; Chu, Yawei Hessian equations of Krylov type on compact Hermitian manifolds. (English) Zbl 1506.32001 Open Math. 20, 1126-1144 (2022). MSC: 32J27 53C55 35J60 35B45 35A01 PDFBibTeX XMLCite \textit{J. Zhou} and \textit{Y. Chu}, Open Math. 20, 1126--1144 (2022; Zbl 1506.32001) Full Text: DOI
Collins, Tristan C.; Picard, Sebastien The Dirichlet problem for the \(k\)-Hessian equation on a complex manifold. (English) Zbl 1522.35004 Am. J. Math. 144, No. 6, 1641-1680 (2022). Reviewer: José Francisco De Oliveira (Teresina) MSC: 35A01 35B45 35J25 35J60 32W20 PDFBibTeX XMLCite \textit{T. C. Collins} and \textit{S. Picard}, Am. J. Math. 144, No. 6, 1641--1680 (2022; Zbl 1522.35004) Full Text: arXiv Link
Pan, Changpeng The Hitchin-Kobayashi correspondence on twisted \(\lambda\)-flat bundles. (English) Zbl 1505.32029 Bull. Sci. Math. 181, Article ID 103198, 19 p. (2022). MSC: 32J18 32L05 PDFBibTeX XMLCite \textit{C. Pan}, Bull. Sci. Math. 181, Article ID 103198, 19 p. (2022; Zbl 1505.32029) Full Text: DOI
Li, Chao; Nie, Yanci; Zhang, Xi Numerically flat holomorphic bundles over non-Kähler manifolds. (English) Zbl 1504.32054 J. Reine Angew. Math. 790, 267-285 (2022). MSC: 32L05 32Q60 53C56 PDFBibTeX XMLCite \textit{C. Li} et al., J. Reine Angew. Math. 790, 267--285 (2022; Zbl 1504.32054) Full Text: DOI arXiv
Zhang, Jiaogen A subsolution theorem for the Monge-Ampère equation over an almost Hermitian manifold. (English) Zbl 1513.32049 Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 5, 2040-2062 (2022). MSC: 32W20 32Q60 35B50 31C10 32U05 PDFBibTeX XMLCite \textit{J. Zhang}, Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 5, 2040--2062 (2022; Zbl 1513.32049) Full Text: DOI arXiv
Nie, Jun; Zhong, Chunping A Schwarz lemma for weakly Kähler-Finsler manifolds. (English) Zbl 1496.32015 Ann. Mat. Pura Appl. (4) 201, No. 4, 1935-1964 (2022). MSC: 32H02 53C56 53C60 PDFBibTeX XMLCite \textit{J. Nie} and \textit{C. Zhong}, Ann. Mat. Pura Appl. (4) 201, No. 4, 1935--1964 (2022; Zbl 1496.32015) Full Text: DOI arXiv
Li, Hongjun; Qiu, Chunhui; Xia, Hongchuan; Zhong, Guozhu On conformal complex Finsler metrics. (English) Zbl 1489.53103 Sci. China, Math. 65, No. 7, 1517-1530 (2022). MSC: 53C56 32Q99 PDFBibTeX XMLCite \textit{H. Li} et al., Sci. China, Math. 65, No. 7, 1517--1530 (2022; Zbl 1489.53103) Full Text: DOI
Chen, Bin; Shen, Yibing; Zhao, Lili Kähler Finsler metrics and conformal deformations. (English) Zbl 1498.53029 Isr. J. Math. 248, No. 1, 355-382 (2022). Reviewer: Vladimir Balan (Bucureşti) MSC: 53B40 53C60 32G07 PDFBibTeX XMLCite \textit{B. Chen} et al., Isr. J. Math. 248, No. 1, 355--382 (2022; Zbl 1498.53029) Full Text: DOI arXiv
Nguyen, Dang Tuyen; Pham, Duc Thoan On vanishing theorems for locally conformally flat Riemannian manifolds. (English) Zbl 1487.58016 Bull. Korean Math. Soc. 59, No. 2, 469-479 (2022). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 58J05 58J35 32S30 PDFBibTeX XMLCite \textit{D. T. Nguyen} and \textit{D. T. Pham}, Bull. Korean Math. Soc. 59, No. 2, 469--479 (2022; Zbl 1487.58016) Full Text: DOI
Fei, Teng; Phong, Duong H.; Picard, Sebastien; Zhang, Xiangwen Estimates for a geometric flow for the type IIB string. (English) Zbl 1504.32048 Math. Ann. 382, No. 3-4, 1935-1955 (2022). MSC: 32J18 53C55 53E30 PDFBibTeX XMLCite \textit{T. Fei} et al., Math. Ann. 382, No. 3--4, 1935--1955 (2022; Zbl 1504.32048) Full Text: DOI arXiv
Shen, Zhenghan; Zhang, Chuanjing; Zhang, Xi Flat Higgs bundles over non-compact affine Gauduchon manifolds. (English) Zbl 07485584 J. Geom. Phys. 175, Article ID 104475, 25 p. (2022). MSC: 32L05 53C07 57N16 PDFBibTeX XMLCite \textit{Z. Shen} et al., J. Geom. Phys. 175, Article ID 104475, 25 p. (2022; Zbl 07485584) Full Text: DOI arXiv
Huang, Liding; Zhang, Jiaogen; Zhang, Xi The deformed Hermitian-Yang-Mills equation on almost Hermitian manifolds. (English) Zbl 1493.53033 Sci. China, Math. 65, No. 1, 127-152 (2022). Reviewer: Qiongling Li (Tianjin) MSC: 53C07 32Q60 30C80 35B45 PDFBibTeX XMLCite \textit{L. Huang} et al., Sci. China, Math. 65, No. 1, 127--152 (2022; Zbl 1493.53033) Full Text: DOI arXiv
Guo, Bin; Song, Jian Schauder estimates for equations with cone metrics. I. (English) Zbl 1478.32076 Indiana Univ. Math. J. 70, No. 5, 1639-1676 (2021). MSC: 32Q15 35J99 35K99 32W20 PDFBibTeX XMLCite \textit{B. Guo} and \textit{J. Song}, Indiana Univ. Math. J. 70, No. 5, 1639--1676 (2021; Zbl 1478.32076) Full Text: DOI arXiv
Wang, Ruixin Semi-stability for bi-holomorphic pairs over compact bi-Hermitian Gauduchon manifolds. (English) Zbl 1481.53034 J. Geom. 112, No. 3, Paper No. 32, 18 p. (2021). MSC: 53C07 32Q20 58E15 PDFBibTeX XMLCite \textit{R. Wang}, J. Geom. 112, No. 3, Paper No. 32, 18 p. (2021; Zbl 1481.53034) Full Text: DOI
Zhou, Jundong A class of the non-degenerate complex quotient equations on compact Kähler manifolds. (English) Zbl 1480.32004 Commun. Pure Appl. Anal. 20, No. 6, 2361-2377 (2021). MSC: 32J27 32W50 32W20 35B45 35A01 PDFBibTeX XMLCite \textit{J. Zhou}, Commun. Pure Appl. Anal. 20, No. 6, 2361--2377 (2021; Zbl 1480.32004) Full Text: DOI
Chu, Jianchun \(C^{1,1}\) regularity of degenerate complex Monge-Ampère equations and some applications. (English) Zbl 1478.32122 Anal. PDE 14, No. 6, 1671-1700 (2021). MSC: 32W20 35J70 35J75 53C25 PDFBibTeX XMLCite \textit{J. Chu}, Anal. PDE 14, No. 6, 1671--1700 (2021; Zbl 1478.32122) Full Text: DOI arXiv
Fong, Frederick Tsz-Ho; Lee, Man-Chun Higher-order estimates of long-time solutions to the Kähler-Ricci flow. (English) Zbl 1478.32075 J. Funct. Anal. 281, No. 11, Article ID 109235, 34 p. (2021). MSC: 32Q15 53E30 PDFBibTeX XMLCite \textit{F. T. H. Fong} and \textit{M.-C. Lee}, J. Funct. Anal. 281, No. 11, Article ID 109235, 34 p. (2021; Zbl 1478.32075) Full Text: DOI arXiv
Dervan, Ruadhaí; Sektnan, Lars Martin Moduli theory, stability of fibrations and optimal symplectic connections. (English) Zbl 1517.32071 Geom. Topol. 25, No. 5, 2643-2697 (2021). MSC: 32Q26 53C55 14D06 14D20 32Q15 PDFBibTeX XMLCite \textit{R. Dervan} and \textit{L. M. Sektnan}, Geom. Topol. 25, No. 5, 2643--2697 (2021; Zbl 1517.32071) Full Text: DOI arXiv
Zhang, Pan The modified cusp Kähler-Ricci flow and soliton. (English) Zbl 1478.53148 J. Geom. Anal. 31, No. 10, 10402-10435 (2021). MSC: 53E30 32W20 PDFBibTeX XMLCite \textit{P. Zhang}, J. Geom. Anal. 31, No. 10, 10402--10435 (2021; Zbl 1478.53148) Full Text: DOI
Chen, Yong A note on pseudo-effective vector bundles with vanishing first Chern number over non-Kähler manifolds. (English) Zbl 1471.32024 C. R., Math., Acad. Sci. Paris 359, No. 5, 523-531 (2021). MSC: 32J18 32L05 PDFBibTeX XMLCite \textit{Y. Chen}, C. R., Math., Acad. Sci. Paris 359, No. 5, 523--531 (2021; Zbl 1471.32024) Full Text: DOI
Zhang, Chuanjing; Zhang, Xi Analytically stable Higgs bundles on some non-Kähler manifolds. (English) Zbl 1469.53062 Ann. Mat. Pura Appl. (4) 200, No. 4, 1683-1707 (2021). MSC: 53C07 14J60 32Q15 PDFBibTeX XMLCite \textit{C. Zhang} and \textit{X. Zhang}, Ann. Mat. Pura Appl. (4) 200, No. 4, 1683--1707 (2021; Zbl 1469.53062) Full Text: DOI arXiv
Zhang, Chuanjing; Zhang, Pan; Zhang, Xi Higgs bundles over non-compact Gauduchon manifolds. (English) Zbl 1465.53040 Trans. Am. Math. Soc. 374, No. 5, 3735-3759 (2021). Reviewer: Pengfei Huang (Heidelberg) MSC: 53C07 14J60 32Q15 PDFBibTeX XMLCite \textit{C. Zhang} et al., Trans. Am. Math. Soc. 374, No. 5, 3735--3759 (2021; Zbl 1465.53040) Full Text: DOI arXiv
Li, Yan; Zhu, Xiaohua \(G\)-Sasaki manifolds and K-energy. (English) Zbl 1461.53035 J. Geom. Anal. 31, No. 2, 1415-1470 (2021). MSC: 53C25 32Q20 53C55 PDFBibTeX XMLCite \textit{Y. Li} and \textit{X. Zhu}, J. Geom. Anal. 31, No. 2, 1415--1470 (2021; Zbl 1461.53035) Full Text: DOI arXiv
He, Weiyong; Li, Jun Geometric pluripotential theory on Sasaki manifolds. (English) Zbl 1465.53063 J. Geom. Anal. 31, No. 2, 1093-1179 (2021). MSC: 53C25 32U15 PDFBibTeX XMLCite \textit{W. He} and \textit{J. Li}, J. Geom. Anal. 31, No. 2, 1093--1179 (2021; Zbl 1465.53063) Full Text: DOI arXiv
Li, Chao; Li, Jiayu; Zhang, Xi Some interior regularity estimates for solutions of complex Monge-Ampère equations on a ball. (English) Zbl 1458.32036 Calc. Var. Partial Differ. Equ. 60, No. 1, Paper No. 34, 17 p. (2021). MSC: 32W20 PDFBibTeX XMLCite \textit{C. Li} et al., Calc. Var. Partial Differ. Equ. 60, No. 1, Paper No. 34, 17 p. (2021; Zbl 1458.32036) Full Text: DOI arXiv
Hu, Zhi; Huang, Pengfei The Hitchin-Kobayashi correspondence for quiver bundles over generalized Kähler manifolds. (English) Zbl 1461.14016 J. Geom. Anal. 30, No. 4, 3641-3671 (2020). Reviewer: Ljudmila Kamenova (New York) MSC: 14D21 32G13 32L05 53C07 53C25 53C55 PDFBibTeX XMLCite \textit{Z. Hu} and \textit{P. Huang}, J. Geom. Anal. 30, No. 4, 3641--3671 (2020; Zbl 1461.14016) Full Text: DOI arXiv
Biswas, Indranil; Dumitrescu, Sorin; Meersseman, Laurent Stability and holomorphic connections on vector bundles over LVMB manifolds. (Fibrés vectoriels holomorphes sur les variétés LVMB.) (English. French summary) Zbl 1444.32026 C. R., Math., Acad. Sci. Paris 358, No. 2, 151-157 (2020). MSC: 32Q26 32M12 53B05 PDFBibTeX XMLCite \textit{I. Biswas} et al., C. R., Math., Acad. Sci. Paris 358, No. 2, 151--157 (2020; Zbl 1444.32026) Full Text: DOI arXiv
Shen, Zhenghan; Zhang, Pan Canonical metrics on holomorphic filtrations over compact Hermitian manifolds. (English) Zbl 1442.53018 Commun. Math. Stat. 8, No. 2, 219-237 (2020). MSC: 53C07 53C55 32Q20 PDFBibTeX XMLCite \textit{Z. Shen} and \textit{P. Zhang}, Commun. Math. Stat. 8, No. 2, 219--237 (2020; Zbl 1442.53018) Full Text: DOI
Zhang, Chuanjing Semistable twisted holomorphic chains on non-compact Kähler manifolds. (English) Zbl 1436.32084 Chin. Ann. Math., Ser. B 41, No. 2, 177-192 (2020). MSC: 32Q15 53C55 PDFBibTeX XMLCite \textit{C. Zhang}, Chin. Ann. Math., Ser. B 41, No. 2, 177--192 (2020; Zbl 1436.32084) Full Text: DOI
Devchand, Chandrashekar; Pontecorvo, Massimiliano; Spiro, Andrea Instantons on hyperkähler manifolds. (English) Zbl 1509.53057 Ann. Mat. Pura Appl. (4) 199, No. 2, 533-561 (2020). MSC: 53C26 53C28 70S15 14D21 32L05 58D27 PDFBibTeX XMLCite \textit{C. Devchand} et al., Ann. Mat. Pura Appl. (4) 199, No. 2, 533--561 (2020; Zbl 1509.53057) Full Text: DOI arXiv
Dinew, Sławomir Local singularities of plurisubharmonic functions. (English) Zbl 1439.32080 Rubinstein, Yanir A. (ed.) et al., Advances in complex geometry. Contributions from the JHU-UMD complex geometry seminar, John Hopkins University, Baltimore, MD, USA and University of Maryland, College Park, MD, USA, 2015–2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 735, 105-143 (2019). MSC: 32U05 32W20 32-02 PDFBibTeX XMLCite \textit{S. Dinew}, Contemp. Math. 735, 105--143 (2019; Zbl 1439.32080) Full Text: DOI
Chen, Xiuxiong; Cheng, Jingrui Some new estimates for the complex Monge-Ampère equation. (English) Zbl 1435.32051 Sci. China, Math. 62, No. 11, 2073-2088 (2019). Reviewer: Eleonora Di Nezza (Bures-sur-Yvette) MSC: 32W20 35R01 PDFBibTeX XMLCite \textit{X. Chen} and \textit{J. Cheng}, Sci. China, Math. 62, No. 11, 2073--2088 (2019; Zbl 1435.32051) Full Text: DOI
Chu, Jianchun; Tosatti, Valentino; Weinkove, Ben The Monge-Ampère equation for non-integrable almost complex structures. (English) Zbl 1452.32035 J. Eur. Math. Soc. (JEMS) 21, No. 7, 1949-1984 (2019). Reviewer: Andrea Spiro (Camerino) MSC: 32Q60 32W20 35J96 53C15 PDFBibTeX XMLCite \textit{J. Chu} et al., J. Eur. Math. Soc. (JEMS) 21, No. 7, 1949--1984 (2019; Zbl 1452.32035) Full Text: DOI arXiv
Zhang, Pan Hermitian Yang-Mills metrics on Higgs bundles over asymptotically cylindrical Kähler manifolds. (English) Zbl 1417.53026 Acta Math. Sin., Engl. Ser. 35, No. 7, 1128-1142 (2019). MSC: 53C07 14J60 32Q15 PDFBibTeX XMLCite \textit{P. Zhang}, Acta Math. Sin., Engl. Ser. 35, No. 7, 1128--1142 (2019; Zbl 1417.53026) Full Text: DOI
Liu, Jiawei; Zhang, Xi Cusp Kähler-Ricci flow on compact Kähler manifolds. (English) Zbl 1484.53122 Ann. Mat. Pura Appl. (4) 198, No. 1, 289-306 (2019). MSC: 53E30 53C55 32W20 32Q20 PDFBibTeX XMLCite \textit{J. Liu} and \textit{X. Zhang}, Ann. Mat. Pura Appl. (4) 198, No. 1, 289--306 (2019; Zbl 1484.53122) Full Text: DOI arXiv
Zhang, Yashan On a twisted conical Kähler-Ricci flow. (English) Zbl 1410.53070 Ann. Global Anal. Geom. 55, No. 1, 69-98 (2019). Reviewer: Martin Chuaqui Farrú (Santiago de Chile) MSC: 53C44 32Q15 53C23 PDFBibTeX XMLCite \textit{Y. Zhang}, Ann. Global Anal. Geom. 55, No. 1, 69--98 (2019; Zbl 1410.53070) Full Text: DOI arXiv
Ross, Julius; Witt Nyström, David On the maximal rank problem for the complex homogeneous Monge-Ampère equation. (English) Zbl 1412.32029 Anal. PDE 12, No. 2, 493-503 (2019). Reviewer: Rafał Czyz (Krakow) MSC: 32W20 58J32 PDFBibTeX XMLCite \textit{J. Ross} and \textit{D. Witt Nyström}, Anal. PDE 12, No. 2, 493--503 (2019; Zbl 1412.32029) Full Text: DOI arXiv
Ross, Julius; Witt Nyström, David The Dirichlet problem for the complex homogeneous Monge-Ampère equation. (English) Zbl 1448.32004 Muñoz, Vicente (ed.) et al., Modern geometry. A celebration of the work of Simon Donaldson. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 99, 289-330 (2018). MSC: 32W20 35J96 53E30 32Q15 58J32 PDFBibTeX XMLCite \textit{J. Ross} and \textit{D. Witt Nyström}, Proc. Symp. Pure Math. 99, 289--330 (2018; Zbl 1448.32004) Full Text: DOI arXiv
Chen, Bohui; Li, An-Min; Sheng, Li Affine techniques on extremal metrics on toric surfaces. (English) Zbl 1409.53059 Adv. Math. 340, 459-527 (2018). Reviewer: Vehbi Emrah Paksoy (Fort Lauderdale) MSC: 53C55 32Q25 14M25 PDFBibTeX XMLCite \textit{B. Chen} et al., Adv. Math. 340, 459--527 (2018; Zbl 1409.53059) Full Text: DOI arXiv
Li, Chao; Li, Jiayu; Zhang, Xi A \(\mathcal{C}^{2, \alpha}\) estimate of the complex Monge-Ampère equation. (English) Zbl 1392.32019 J. Funct. Anal. 275, No. 1, 149-169 (2018). MSC: 32W20 PDFBibTeX XMLCite \textit{C. Li} et al., J. Funct. Anal. 275, No. 1, 149--169 (2018; Zbl 1392.32019) Full Text: DOI arXiv
Liu, Jiawei; Zhang, Chuanjing The conical complex Monge-Ampère equations on Kähler manifolds. (English) Zbl 1393.53074 Calc. Var. Partial Differ. Equ. 57, No. 2, Paper No. 44, 21 p. (2018). Reviewer: Marcos Origlia (Kortrijk) MSC: 53C55 32W20 PDFBibTeX XMLCite \textit{J. Liu} and \textit{C. Zhang}, Calc. Var. Partial Differ. Equ. 57, No. 2, Paper No. 44, 21 p. (2018; Zbl 1393.53074) Full Text: DOI arXiv
Shen, Liangming The \(C^{2,\alpha }\)-estimate for conical Kähler-Ricci flow. (English) Zbl 1501.53098 Calc. Var. Partial Differ. Equ. 57, No. 2, Paper No. 33, 15 p. (2018). MSC: 53E20 32W20 32Q20 PDFBibTeX XMLCite \textit{L. Shen}, Calc. Var. Partial Differ. Equ. 57, No. 2, Paper No. 33, 15 p. (2018; Zbl 1501.53098) Full Text: DOI arXiv
Nie, Yanci; Zhang, Xi Semistable Higgs bundles over compact Gauduchon manifolds. (English) Zbl 1391.32026 J. Geom. Anal. 28, No. 1, 627-642 (2018). MSC: 32L05 PDFBibTeX XMLCite \textit{Y. Nie} and \textit{X. Zhang}, J. Geom. Anal. 28, No. 1, 627--642 (2018; Zbl 1391.32026) Full Text: DOI arXiv
Li, Jiayu; Zhang, Chuanjing; Zhang, Xi The limit of the Hermitian-Yang-Mills flow on reflexive sheaves. (English) Zbl 1381.53046 Adv. Math. 325, 165-214 (2018). Reviewer: Edoardo Ballico (Povo) MSC: 53C07 58E15 32C35 PDFBibTeX XMLCite \textit{J. Li} et al., Adv. Math. 325, 165--214 (2018; Zbl 1381.53046) Full Text: DOI arXiv
Ren, Yibin; Lin, Hezi; Dong, Yuxin Rigidity theorems for complete Sasakian manifolds with constant pseudo-Hermitian scalar curvature. (English) Zbl 1393.32018 J. Geom. Anal. 27, No. 4, 2788-2816 (2017). MSC: 32V05 32V20 53C24 53C25 PDFBibTeX XMLCite \textit{Y. Ren} et al., J. Geom. Anal. 27, No. 4, 2788--2816 (2017; Zbl 1393.32018) Full Text: DOI arXiv
Chen, Xiuxiong; Wang, Yuanqi On the regularity problem of complex Monge-Ampere equations with conical singularities. (Sur le problème de régularité de l’équation de Monge-Ampère complexe avec singularités coniques.) (English. French summary) Zbl 1381.35056 Ann. Inst. Fourier 67, No. 3, 969-1003 (2017). MSC: 35J75 32Q20 32W20 PDFBibTeX XMLCite \textit{X. Chen} and \textit{Y. Wang}, Ann. Inst. Fourier 67, No. 3, 969--1003 (2017; Zbl 1381.35056) Full Text: DOI arXiv
Cardona, S. A. H.; Mata-Gutiérrez, O. On Gieseker stability for Higgs sheaves. (English) Zbl 1372.53025 Differ. Geom. Appl. 53, 169-181 (2017). MSC: 53C07 53C55 32C15 PDFBibTeX XMLCite \textit{S. A. H. Cardona} and \textit{O. Mata-Gutiérrez}, Differ. Geom. Appl. 53, 169--181 (2017; Zbl 1372.53025) Full Text: DOI arXiv
Yao, Yi Greatest lower bounds on Ricci curvature of homogeneous toric bundles. (English) Zbl 1373.32018 Int. J. Math. 28, No. 4, Article ID 1750024, 16 p. (2017). Reviewer: Andreas Arvanitoyeorgos (Patras) MSC: 32Q15 32L05 14J45 14M25 PDFBibTeX XMLCite \textit{Y. Yao}, Int. J. Math. 28, No. 4, Article ID 1750024, 16 p. (2017; Zbl 1373.32018) Full Text: DOI arXiv
Delcroix, Thibaut Kähler-Einstein metrics on group compactifications. (English) Zbl 1364.32017 Geom. Funct. Anal. 27, No. 1, 78-129 (2017). Reviewer: Andreas Arvanitoyeorgos (Patras) MSC: 32Q25 53C55 14J45 PDFBibTeX XMLCite \textit{T. Delcroix}, Geom. Funct. Anal. 27, No. 1, 78--129 (2017; Zbl 1364.32017) Full Text: DOI arXiv
Darvas, Tamás; Rubinstein, Yanir A. Tian’s properness conjectures and Finsler geometry of the space of Kähler metrics. (English) Zbl 1386.32021 J. Am. Math. Soc. 30, No. 2, 347-387 (2017). Reviewer: Ahmed Zeriahi (Toulouse) MSC: 32J27 14J45 32Q20 PDFBibTeX XMLCite \textit{T. Darvas} and \textit{Y. A. Rubinstein}, J. Am. Math. Soc. 30, No. 2, 347--387 (2017; Zbl 1386.32021) Full Text: DOI arXiv
Liu, Jiawei; Zhang, Xi Conical Kähler-Ricci flows on Fano manifolds. (English) Zbl 1355.53066 Adv. Math. 307, 1324-1371 (2017). MSC: 53C55 32W20 PDFBibTeX XMLCite \textit{J. Liu} and \textit{X. Zhang}, Adv. Math. 307, 1324--1371 (2017; Zbl 1355.53066) Full Text: DOI arXiv
Dinew, Sławomir; Dinew, Żywomir The minimum sets and free boundaries of strictly plurisubharmonic functions. (English) Zbl 1366.32014 Calc. Var. Partial Differ. Equ. 55, No. 6, Paper No. 148, 17 p. (2016). Reviewer: Marek Jarnicki (Kraków) MSC: 32W20 PDFBibTeX XMLCite \textit{S. Dinew} and \textit{Ż. Dinew}, Calc. Var. Partial Differ. Equ. 55, No. 6, Paper No. 148, 17 p. (2016; Zbl 1366.32014) Full Text: DOI arXiv
Jin, Xishen; Liu, Jiawei; Zhang, Xi Twisted and conical Kähler-Ricci solitons on Fano manifolds. (English) Zbl 1352.53061 J. Funct. Anal. 271, No. 9, 2396-2421 (2016). Reviewer: V. V. Chueshev (Kemerovo) MSC: 53C55 32W20 14J45 PDFBibTeX XMLCite \textit{X. Jin} et al., J. Funct. Anal. 271, No. 9, 2396--2421 (2016; Zbl 1352.53061) Full Text: DOI arXiv
Sun, Wei On a class of fully nonlinear elliptic equations on closed Hermitian manifolds. (English) Zbl 1348.32018 J. Geom. Anal. 26, No. 3, 2459-2473 (2016). MSC: 32W50 53C55 PDFBibTeX XMLCite \textit{W. Sun}, J. Geom. Anal. 26, No. 3, 2459--2473 (2016; Zbl 1348.32018) Full Text: DOI arXiv
Jin, Xishen; Zhang, Xi Uniqueness of constant scalar curvature Sasakian metrics. (English) Zbl 1362.53055 Ann. Global Anal. Geom. 49, No. 4, 309-328 (2016). MSC: 53C25 53C55 32W20 58D17 PDFBibTeX XMLCite \textit{X. Jin} and \textit{X. Zhang}, Ann. Global Anal. Geom. 49, No. 4, 309--328 (2016; Zbl 1362.53055) Full Text: DOI arXiv
Wang, Yuanqi Smooth approximations of the conical Kähler-Ricci flows. (English) Zbl 1381.53125 Math. Ann. 365, No. 1-2, 835-856 (2016). MSC: 53C44 32Q15 53C55 58J35 PDFBibTeX XMLCite \textit{Y. Wang}, Math. Ann. 365, No. 1--2, 835--856 (2016; Zbl 1381.53125) Full Text: DOI arXiv
Chu, Jianchun \(C^{2,\alpha}\) regularities and estimates for nonlinear elliptic and parabolic equations in geometry. (English) Zbl 1336.32034 Calc. Var. Partial Differ. Equ. 55, No. 1, Paper No. 8, 20 p. (2016). MSC: 32W50 32W20 32Q60 PDFBibTeX XMLCite \textit{J. Chu}, Calc. Var. Partial Differ. Equ. 55, No. 1, Paper No. 8, 20 p. (2016; Zbl 1336.32034) Full Text: DOI arXiv
Nguyen, Ngoc Cuong The complex Monge-Ampère type equation on compact Hermitian manifolds and applications. (English) Zbl 1337.53088 Adv. Math. 286, 240-285 (2016). Reviewer: Dan Coman (Syracuse) MSC: 53C55 32U05 32U40 32W20 PDFBibTeX XMLCite \textit{N. C. Nguyen}, Adv. Math. 286, 240--285 (2016; Zbl 1337.53088) Full Text: DOI arXiv
Guan, Bo; Sun, Wei On a class of fully nonlinear elliptic equations on Hermitian manifolds. (English) Zbl 1326.32054 Calc. Var. Partial Differ. Equ. 54, No. 1, 901-916 (2015). Reviewer: Slawomir Kołodziej (Kraków) MSC: 32W20 PDFBibTeX XMLCite \textit{B. Guan} and \textit{W. Sun}, Calc. Var. Partial Differ. Equ. 54, No. 1, 901--916 (2015; Zbl 1326.32054) Full Text: DOI arXiv
Tosatti, Valentino; Wang, Yu; Weinkove, Ben; Yang, Xiaokui \(C^{2,\alpha}\) estimates for nonlinear elliptic equations in complex and almost complex geometry. (English) Zbl 1320.32047 Calc. Var. Partial Differ. Equ. 54, No. 1, 431-453 (2015). MSC: 32W20 58J05 32Q15 53C55 32Q60 PDFBibTeX XMLCite \textit{V. Tosatti} et al., Calc. Var. Partial Differ. Equ. 54, No. 1, 431--453 (2015; Zbl 1320.32047) Full Text: DOI arXiv
Li, Yi A priori estimates for Donaldson’s equation over compact Hermitian manifolds. (English) Zbl 1296.53141 Calc. Var. Partial Differ. Equ. 50, No. 3-4, 867-882 (2014). Reviewer: Carl Tipler (Brest) MSC: 53C55 32W20 35J60 58J05 PDFBibTeX XMLCite \textit{Y. Li}, Calc. Var. Partial Differ. Equ. 50, No. 3--4, 867--882 (2014; Zbl 1296.53141) Full Text: DOI arXiv
Biswas, Indranil; Bradlow, Steven B.; Jacob, Adam; Stemmler, Matthias Automorphisms and connections on Higgs bundles over compact Kähler manifolds. (English) Zbl 1372.53024 Differ. Geom. Appl. 32, 139-152 (2014). MSC: 53C07 32L05 PDFBibTeX XMLCite \textit{I. Biswas} et al., Differ. Geom. Appl. 32, 139--152 (2014; Zbl 1372.53024) Full Text: DOI
Wang, Yue; Zhang, Xi Dirichlet problem for Hermitian-Einstein equation over almost Hermitian manifold. (English) Zbl 1252.32033 Acta Math. Sin., Engl. Ser. 28, No. 6, 1249-1260 (2012). MSC: 32Q60 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{X. Zhang}, Acta Math. Sin., Engl. Ser. 28, No. 6, 1249--1260 (2012; Zbl 1252.32033) Full Text: DOI
Guan, Pengfei; Zhang, Xi Regularity of the geodesic equation in the space of Sasakian metrics. (English) Zbl 1245.58016 Adv. Math. 230, No. 1, 321-371 (2012). Reviewer: Isabel Salavessa (Lisboa) MSC: 58J60 53C25 58D17 32W20 PDFBibTeX XMLCite \textit{P. Guan} and \textit{X. Zhang}, Adv. Math. 230, No. 1, 321--371 (2012; Zbl 1245.58016) Full Text: DOI arXiv
Wang, Yue; Zhang, Xi Twisted holomorphic chains and vortex equations over non-compact Kähler manifolds. (English) Zbl 1205.32016 J. Math. Anal. Appl. 373, No. 1, 179-202 (2011). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 32L05 58J32 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{X. Zhang}, J. Math. Anal. Appl. 373, No. 1, 179--202 (2011; Zbl 1205.32016) Full Text: DOI