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 PDF BibTeX XML Cite \textit{Z. Shen} and \textit{P. Zhang}, Commun. Math. Stat. 8, No. 2, 219--237 (2020; Zbl 1442.53018) Full Text: DOI
Kolesnikov, Alexander V. Mass transportation functionals on the sphere with applications to the logarithmic Minkowski problem. (English) Zbl 07206635 Mosc. Math. J. 20, No. 1, 67-91 (2020). MSC: 52A40 90C08 PDF BibTeX XML Cite \textit{A. V. Kolesnikov}, Mosc. Math. J. 20, No. 1, 67--91 (2020; Zbl 07206635) Full Text: Link
Faulk, Mitchell On Yau’s theorem for effective orbifolds. (English) Zbl 1434.32039 Expo. Math. 37, No. 4, 382-409 (2019). MSC: 32Q20 32Q25 32-02 PDF BibTeX XML Cite \textit{M. Faulk}, Expo. Math. 37, No. 4, 382--409 (2019; Zbl 1434.32039) Full Text: DOI
Darvas, Tamás Geometric pluripotential theory on Kähler manifolds. (English) Zbl 1439.32061 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, 1-104 (2019). MSC: 32Q15 32Q20 32W20 PDF BibTeX XML Cite \textit{T. Darvas}, Contemp. Math. 735, 1--104 (2019; Zbl 1439.32061) Full Text: DOI
Hunter, Ryan Monge-Ampère iteration. (Monge-Ampére iteration.) (English) Zbl 1429.32039 Sel. Math., New Ser. 25, No. 5, Paper No. 73, 70 p. (2019). MSC: 32Q20 53A15 35J96 PDF BibTeX XML Cite \textit{R. Hunter}, Sel. Math., New Ser. 25, No. 5, Paper No. 73, 70 p. (2019; Zbl 1429.32039) Full Text: DOI
Klartag, Bo’az; Kolesnikov, Alexander V. Extremal Kähler-Einstein metric for two-dimensional convex bodies. (English) Zbl 1432.35104 J. Geom. Anal. 29, No. 3, 2347-2373 (2019). Reviewer: Petar Popivanov (Sofia) MSC: 35J96 32Q20 52A20 PDF BibTeX XML Cite \textit{B. Klartag} and \textit{A. V. Kolesnikov}, J. Geom. Anal. 29, No. 3, 2347--2373 (2019; Zbl 1432.35104) Full Text: DOI
Darvas, Tamás; Di Nezza, Eleonora; Lu, Chinh H. Monotonicity of nonpluripolar products and complex Monge-Ampère equations with prescribed singularity. (English) Zbl 1396.32011 Anal. PDE 11, No. 8, 2049-2087 (2018). Reviewer: Marek Jarnicki (Kraków) MSC: 32Q15 32U05 32W20 32Q20 PDF BibTeX XML Cite \textit{T. Darvas} et al., Anal. PDE 11, No. 8, 2049--2087 (2018; Zbl 1396.32011) Full Text: DOI
Berman, Robert J.; Önnheim, Magnus Propagation of chaos, Wasserstein gradient flows and toric Kähler-Einstein metrics. (English) Zbl 1434.82063 Anal. PDE 11, No. 6, 1343-1380 (2018). MSC: 82C31 82C22 32Q20 32W20 PDF BibTeX XML Cite \textit{R. J. Berman} and \textit{M. Önnheim}, Anal. PDE 11, No. 6, 1343--1380 (2018; Zbl 1434.82063) Full Text: DOI
Kolesnikov, Alexander V.; Kosov, Egor D. Moment measures and stability for Gaussian inequalities. (English) Zbl 1413.28025 Theory Stoch. Process. 22, No. 2, 47-61 (2017). MSC: 28C20 58E99 60H07 PDF BibTeX XML Cite \textit{A. V. Kolesnikov} and \textit{E. D. Kosov}, Theory Stoch. Process. 22, No. 2, 47--61 (2017; Zbl 1413.28025) Full Text: Link arXiv
Kolesnikov, A. V.; Klartag, B. Remarks on curvature in the transportation metric. (English) Zbl 1399.35211 Anal. Math. 43, No. 1, 67-88 (2017). MSC: 35J96 53C25 53C21 PDF BibTeX XML Cite \textit{A. V. Kolesnikov} and \textit{B. Klartag}, Anal. Math. 43, No. 1, 67--88 (2017; Zbl 1399.35211) Full Text: DOI
El Chami, Fida; Ginoux, Nicolas; Habib, Georges; Nakad, Roger Rigidity results for Riemannian spin\(^c\) manifolds with foliated boundary. (English) Zbl 1386.53050 Result. Math. 72, No. 4, 1773-1806 (2017). Reviewer: Iakovos Androulidakis (Athína) MSC: 53C27 53C12 53C24 PDF BibTeX XML Cite \textit{F. El Chami} et al., Result. Math. 72, No. 4, 1773--1806 (2017; Zbl 1386.53050) Full Text: DOI
de Borbon, Martin Kähler metrics with cone singularities along a divisor of bounded Ricci curvature. (English) Zbl 1390.32020 Ann. Global Anal. Geom. 52, No. 4, 457-464 (2017). Reviewer: Rafał Czyz (Krakow) MSC: 32Q20 32W20 PDF BibTeX XML Cite \textit{M. de Borbon}, Ann. Global Anal. Geom. 52, No. 4, 457--464 (2017; Zbl 1390.32020) Full Text: DOI
Jiang, Wenshuai; Wang, Feng; Zhu, Xiaohua Bergman kernels for a sequence of almost Kähler-Ricci solitons. (Noyaux de Bergman pour une suite de métriques de solitons de Kähler-Ricci tordus.) (English. French summary) Zbl 1396.53074 Ann. Inst. Fourier 67, No. 3, 1279-1320 (2017). Reviewer: Maria Falcitelli (Bari) MSC: 53C25 53C55 58J05 PDF BibTeX XML Cite \textit{W. Jiang} et al., Ann. Inst. Fourier 67, No. 3, 1279--1320 (2017; Zbl 1396.53074) Full Text: DOI
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 PDF BibTeX XML Cite \textit{X. Chen} and \textit{Y. Wang}, Ann. Inst. Fourier 67, No. 3, 969--1003 (2017; Zbl 1381.35056) Full Text: DOI arXiv
Demailly, Jean-Pierre Variational approach for complex Monge-Ampère equations and geometric applications. (English) Zbl 1431.32011 Séminaire Bourbaki. Volume 2015/2016. Exposés 1104–1119. Avec table par noms d’auteurs de 1948/49 à 2015/16. Paris: Société Mathématique de France (SMF). Astérisque 390, 245-275, Exp. No. 1112 (2017). MSC: 32W20 32Q20 53C55 PDF BibTeX XML Cite \textit{J.-P. Demailly}, Astérisque 390, 245--275, Exp. No. 1112 (2017; Zbl 1431.32011)
Jacob, Adam; Yau, Shing-Tung A special Lagrangian type equation for holomorphic line bundles. (English) Zbl 1375.32045 Math. Ann. 369, No. 1-2, 869-898 (2017). Reviewer: Noriko Yui (Kingston) MSC: 32Q15 32Q20 53C07 14J32 PDF BibTeX XML Cite \textit{A. Jacob} and \textit{S.-T. Yau}, Math. Ann. 369, No. 1--2, 869--898 (2017; Zbl 1375.32045) Full Text: DOI arXiv
Tian, Gang A third derivative estimate for Monge-Ampere equations with conic singularities. (English) Zbl 1376.32040 Chin. Ann. Math., Ser. B 38, No. 2, 687-694 (2017). Reviewer: Rafał Czyz (Krakow) MSC: 32W20 32Q20 35J96 PDF BibTeX XML Cite \textit{G. Tian}, Chin. Ann. Math., Ser. B 38, No. 2, 687--694 (2017; Zbl 1376.32040) Full Text: DOI
Pan, Lishuang; Wang, An; Zhang, Liyou On the Kähler-Einstein metric of Bergman-Hartogs domains. (English) Zbl 1360.32002 Nagoya Math. J. 221, 184-206 (2016). Reviewer: V. V. Chueshev (Kemerovo) MSC: 32A07 32Q20 32W20 PDF BibTeX XML Cite \textit{L. Pan} et al., Nagoya Math. J. 221, 184--206 (2016; Zbl 1360.32002) Full Text: DOI
Collins, Tristan C.; Székelyhidi, Gábor The twisted Kähler-Ricci flow. (English) Zbl 1357.53076 J. Reine Angew. Math. 716, 179-205 (2016). Reviewer: Gabriel Teodor Pripoae (Bucureşti) MSC: 53C44 53C55 14J45 PDF BibTeX XML Cite \textit{T. C. Collins} and \textit{G. Székelyhidi}, J. Reine Angew. Math. 716, 179--205 (2016; Zbl 1357.53076) Full Text: DOI arXiv
Li, Song-Ying Plurisubharmonicity for the solution of the Fefferman equation and applications. (English) Zbl 1383.32010 Bull. Math. Sci. 6, No. 2, 287-309 (2016). MSC: 32U05 32W50 35J60 PDF BibTeX XML Cite \textit{S.-Y. Li}, Bull. Math. Sci. 6, No. 2, 287--309 (2016; Zbl 1383.32010) Full Text: DOI
Eyssidieux, Philippe; Guedj, Vincent; Zeriahi, Ahmed Weak solutions to degenerate complex Monge-Ampère flows. II. (English) Zbl 1367.32027 Adv. Math. 293, 37-80 (2016). Reviewer: Julien Keller (Marseille) MSC: 32W20 32Q20 35K96 53C44 PDF BibTeX XML Cite \textit{P. Eyssidieux} et al., Adv. Math. 293, 37--80 (2016; Zbl 1367.32027) Full Text: DOI arXiv
Song, Jian; Wang, Xiaowei The greatest Ricci lower bound, conical Einstein metrics and Chern number inequality. (English) Zbl 1342.32018 Geom. Topol. 20, No. 1, 49-102 (2016). Reviewer: Slawomir Kołodziej (Kraków) MSC: 32Q20 53C55 14J45 14M25 PDF BibTeX XML Cite \textit{J. Song} and \textit{X. Wang}, Geom. Topol. 20, No. 1, 49--102 (2016; Zbl 1342.32018) Full Text: DOI arXiv
Jeffres, Thalia; Mazzeo, Rafe; Rubinstein, Yanir A. Kähler-Einstein metrics with edge singularities. (English) Zbl 1337.32037 Ann. Math. (2) 183, No. 1, 95-176 (2016). Reviewer: Antonella Nannicini (Firenze) MSC: 32Q20 53C55 PDF BibTeX XML Cite \textit{T. Jeffres} et al., Ann. Math. (2) 183, No. 1, 95--176 (2016; Zbl 1337.32037) Full Text: DOI arXiv
Datar, Ved V.; Song, Jian A remark on Kähler metrics with conical singularities along a simple normal crossing divisor. (English) Zbl 1327.32039 Bull. Lond. Math. Soc. 47, No. 6, 1010-1013 (2015). MSC: 32Q15 32W20 PDF BibTeX XML Cite \textit{V. V. Datar} and \textit{J. Song}, Bull. Lond. Math. Soc. 47, No. 6, 1010--1013 (2015; Zbl 1327.32039) Full Text: DOI arXiv
Li, Long On the spectrum of weighted Laplacian operator and its application to uniqueness of Kähler Einstein metrics. (English) Zbl 1325.32028 Math. Ann. 362, No. 3-4, 1349-1378 (2015). Reviewer: Vamsi Pritham Pingali (Baltimore) MSC: 32Q20 35J05 32W20 PDF BibTeX XML Cite \textit{L. Li}, Math. Ann. 362, No. 3--4, 1349--1378 (2015; Zbl 1325.32028) Full Text: DOI
Yao, Chengjian Existence of weak conical Kähler-Einstein metrics along smooth hypersurfaces. (English) Zbl 1335.32018 Math. Ann. 362, No. 3-4, 1287-1304 (2015). Reviewer: Andrea Spiro (Camerino) MSC: 32Q20 53C25 53C55 PDF BibTeX XML Cite \textit{C. Yao}, Math. Ann. 362, No. 3--4, 1287--1304 (2015; Zbl 1335.32018) Full Text: DOI arXiv
Liu, Jiawei; Wang, Yue Convergence of the generalized Kähler-Ricci flow. (English) Zbl 1322.53077 Commun. Math. Stat. 3, No. 2, 239-261 (2015). MSC: 53C55 32W20 PDF BibTeX XML Cite \textit{J. Liu} and \textit{Y. Wang}, Commun. Math. Stat. 3, No. 2, 239--261 (2015; Zbl 1322.53077) Full Text: DOI
Phong, Duong H. Parabolic flows in complex geometry. (English) Zbl 1305.32014 Acta Math. Vietnam. 39, No. 1, 35-54 (2014). MSC: 32Q26 32Q15 32Q20 32U05 32W20 PDF BibTeX XML Cite \textit{D. H. Phong}, Acta Math. Vietnam. 39, No. 1, 35--54 (2014; Zbl 1305.32014) Full Text: DOI
Guenancia, Henri Kähler-Einstein metrics with mixed Poincaré and cone singularities along a normal crossing divisor. (English. French summary) Zbl 1310.32024 Ann. Inst. Fourier 64, No. 3, 1291-1330 (2014). Reviewer: Slawomir Kołodziej (Kraków) MSC: 32J27 32Q20 32W20 PDF BibTeX XML Cite \textit{H. Guenancia}, Ann. Inst. Fourier 64, No. 3, 1291--1330 (2014; Zbl 1310.32024) Full Text: DOI arXiv
Zhang, Xi; Zhang, Xiangwen Generalized Kähler-Einstein metrics and energy functionals. (English) Zbl 1323.53082 Can. J. Math. 66, No. 6, 1413-1435 (2014). Reviewer: Maria Falcitelli (Bari) MSC: 53C55 32W20 53C44 PDF BibTeX XML Cite \textit{X. Zhang} and \textit{X. Zhang}, Can. J. Math. 66, No. 6, 1413--1435 (2014; Zbl 1323.53082) Full Text: DOI
Li, Chi; Sun, Song Conical Kähler-Einstein metrics revisited. (English) Zbl 1296.32008 Commun. Math. Phys. 331, No. 3, 927-973 (2014). MSC: 32Q20 14J45 53C55 PDF BibTeX XML Cite \textit{C. Li} and \textit{S. Sun}, Commun. Math. Phys. 331, No. 3, 927--973 (2014; Zbl 1296.32008) Full Text: DOI
Székelyhidi, Gábor An introduction to extremal Kähler metrics. (English) Zbl 1298.53002 Graduate Studies in Mathematics 152. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-1047-6/hbk). xvi, 192 p. (2014). Reviewer: Nicoleta Aldea (Brasov) MSC: 53-02 53C55 53C26 53B35 53C25 32Q20 14L24 PDF BibTeX XML Cite \textit{G. Székelyhidi}, An introduction to extremal Kähler metrics. Providence, RI: American Mathematical Society (AMS) (2014; Zbl 1298.53002)
Wang, An; Hao, Yihong The explicit solutions for a class of complex Monge-Ampère equations. (English) Zbl 1282.32015 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 95, 639-649 (2014). MSC: 32W20 32Q20 PDF BibTeX XML Cite \textit{A. Wang} and \textit{Y. Hao}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 95, 639--649 (2014; Zbl 1282.32015) Full Text: DOI
Hao, Yihong; Tang, Junli; Wang, An Einstein-Kähler metric and comparison theorem on a class of Hartogs domains. (English) Zbl 1313.32002 Adv. Math., Beijing 42, No. 6, 823-836 (2013). MSC: 32A07 32F45 32Q20 PDF BibTeX XML Cite \textit{Y. Hao} et al., Adv. Math., Beijing 42, No. 6, 823--836 (2013; Zbl 1313.32002)
Yau, Shing-Tung; Ma, Hui; Tsai, Chung-Jun; Wang, Mu-Tao; Zhao, En-Tao Open problems in differential geometry. (English) Zbl 1302.53003 Ji, Lizhen (ed.) et al., Open problems and surveys of contemporary mathematics. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-278-7/pbk). Surveys of Modern Mathematics 6, 397-477 (2013). Reviewer: Ioan Pop (Iaşi) MSC: 53-02 53-06 53A15 53A20 53C20 53C25 53C55 57R15 57R20 PDF BibTeX XML Cite \textit{S.-T. Yau} et al., Surv. Mod. Math. 6, 397--477 (2013; Zbl 1302.53003)
Berman, Robert J. A thermodynamical formalism for Monge-Ampère equations, Moser-Trudinger inequalities and Kähler-Einstein metrics. (English) Zbl 1286.58010 Adv. Math. 248, 1254-1297 (2013). MSC: 58E30 32W20 32Q20 PDF BibTeX XML Cite \textit{R. J. Berman}, Adv. Math. 248, 1254--1297 (2013; Zbl 1286.58010) Full Text: DOI
Zeriahi, Ahmed A viscosity approach to degenerate complex Monge-Ampère equations. (English. French summary) Zbl 1334.32016 Ann. Fac. Sci. Toulouse, Math. (6) 22, No. 4, Spec. Issue, 843-913 (2013). MSC: 32W20 32J27 32Q20 PDF BibTeX XML Cite \textit{A. Zeriahi}, Ann. Fac. Sci. Toulouse, Math. (6) 22, No. 4, 843--913 (2013; Zbl 1334.32016) Full Text: DOI Link arXiv
Guedj, Vincent; Kolev, Boris; Yeganefar, Nader Kähler-Einstein fillings. (English) Zbl 1284.32015 J. Lond. Math. Soc., II. Ser. 88, No. 3, 737-760 (2013). Reviewer: Rafał Czyz (Krakow) MSC: 32Q20 32W20 PDF BibTeX XML Cite \textit{V. Guedj} et al., J. Lond. Math. Soc., II. Ser. 88, No. 3, 737--760 (2013; Zbl 1284.32015) Full Text: DOI arXiv
Berman, Robert J.; Boucksom, Sébastien; Guedj, Vincent; Zeriahi, Ahmed A variational approach to complex Monge-Ampère equations. (English) Zbl 1277.32049 Publ. Math., Inst. Hautes Étud. Sci. 117, 179-245 (2013). Reviewer: Slawomir Kołodziej (Kraków) MSC: 32W20 32Q20 PDF BibTeX XML Cite \textit{R. J. Berman} et al., Publ. Math., Inst. Hautes Étud. Sci. 117, 179--245 (2013; Zbl 1277.32049) Full Text: DOI
Högner, Moritz Quaternion-Kähler four-manifolds and Przanowski’s function. (English) Zbl 1282.58014 J. Math. Phys. 53, No. 10, 103517, 15 p. (2012). MSC: 58J05 53C26 53C28 32Q20 14F25 14D21 PDF BibTeX XML Cite \textit{M. Högner}, J. Math. Phys. 53, No. 10, 103517, 15 p. (2012; Zbl 1282.58014) Full Text: DOI arXiv
Rochon, Frédéric; Zhang, Zhou Asymptotics of complete Kähler metrics of finite volume on quasiprojective manifolds. (English) Zbl 1264.53066 Adv. Math. 231, No. 5, 2892-2952 (2012). Reviewer: Włodzimierz Jelonek (Kraków) MSC: 53C55 32Q20 53C44 14C20 PDF BibTeX XML Cite \textit{F. Rochon} and \textit{Z. Zhang}, Adv. Math. 231, No. 5, 2892--2952 (2012; Zbl 1264.53066) Full Text: DOI
Guedj, Vincent (ed.) Complex Monge-Ampère equations and geodesics in the space of Kähler metrics. Lecture notes. (English) Zbl 1251.32001 Lecture Notes in Mathematics 2038. Berlin: Springer (ISBN 978-3-642-23668-6/pbk; 978-3-642-23669-3/ebook). viii, 310 p. (2012). Reviewer: Benoît Claudon (Vandœuvre-lés-Nancy) MSC: 32-02 32-06 32W20 32U05 32Q15 32Q20 32Q25 53-02 53-06 53C55 58E11 PDF BibTeX XML Cite \textit{V. Guedj} (ed.), Complex Monge-Ampère equations and geodesics in the space of Kähler metrics. Lecture notes. Berlin: Springer (2012; Zbl 1251.32001) Full Text: DOI
Székelyhidi, Gábor; Tosatti, Valentino Regularity of weak solutions of a complex Monge-Ampère equation. (English) Zbl 1264.32019 Anal. PDE 4, No. 3, 369-378 (2011). MSC: 32Q20 32W20 35J60 53C44 PDF BibTeX XML Cite \textit{G. Székelyhidi} and \textit{V. Tosatti}, Anal. PDE 4, No. 3, 369--378 (2011; Zbl 1264.32019) Full Text: DOI Link arXiv
Legendre, Eveline Toric geometry of convex quadrilaterals. (English) Zbl 1233.14032 J. Symplectic Geom. 9, No. 3, 343-385 (2011). Reviewer: Julien Keller (Marseille) MSC: 14M25 53C25 32Q15 32Q20 53D20 PDF BibTeX XML Cite \textit{E. Legendre}, J. Symplectic Geom. 9, No. 3, 343--385 (2011; Zbl 1233.14032) Full Text: DOI Euclid arXiv
Eyssidieux, Philippe; Guedj, Vincent; Zeriahi, Ahmed Viscosity solutions to degenerate complex Monge-Ampère equations. (English) Zbl 1227.32042 Commun. Pure Appl. Math. 64, No. 8, 1059-1094 (2011). Reviewer: Marco Abate (Pisa) MSC: 32W20 32Q20 35J60 PDF BibTeX XML Cite \textit{P. Eyssidieux} et al., Commun. Pure Appl. Math. 64, No. 8, 1059--1094 (2011; Zbl 1227.32042) Full Text: DOI arXiv
Chen, Xiuxiong; He, Weiyong The space of volume forms. (English) Zbl 1218.58008 Int. Math. Res. Not. 2011, No. 5, 967-1009 (2011). Reviewer: Vasile Oproiu (Iaşi) MSC: 58D15 58B25 58B20 32Q20 58D20 58D25 PDF BibTeX XML Cite \textit{X. Chen} and \textit{W. He}, Int. Math. Res. Not. 2011, No. 5, 967--1009 (2011; Zbl 1218.58008) Full Text: DOI arXiv
Streets, Jeffrey; Tian, Gang Hermitian curvature flow. (English) Zbl 1214.53055 J. Eur. Math. Soc. (JEMS) 13, No. 3, 601-634 (2011). MSC: 53C44 53C55 32Q20 PDF BibTeX XML Cite \textit{J. Streets} and \textit{G. Tian}, J. Eur. Math. Soc. (JEMS) 13, No. 3, 601--634 (2011; Zbl 1214.53055) Full Text: DOI arXiv
Boucksom, Sébastien; Eyssidieux, Philippe; Guedj, Vincent; Zeriahi, Ahmed Monge-Ampère equations in big cohomology classes. (English) Zbl 1213.32025 Acta Math. 205, No. 2, 199-262 (2010). Reviewer: Marco Abate (Pisa) MSC: 32W20 32Q20 53C55 PDF BibTeX XML Cite \textit{S. Boucksom} et al., Acta Math. 205, No. 2, 199--262 (2010; Zbl 1213.32025) Full Text: DOI
Finley, Daniel; McIver, John K. Solutions of the sDiff\((2)\) Toda equation with \(SU(2)\) symmetry. (English) Zbl 1195.83022 Classical Quantum Gravity 27, No. 14, Article ID 145001, 21 p. (2010). MSC: 83C15 53C15 83C05 32Q20 31A35 31B35 PDF BibTeX XML Cite \textit{D. Finley} and \textit{J. K. McIver}, Classical Quantum Gravity 27, No. 14, Article ID 145001, 21 p. (2010; Zbl 1195.83022) Full Text: DOI
Chau, Albert; Tam, Luen-Fai A \(C^{0}\)-estimate for the parabolic Monge-Ampère equation on complete non-compact Kähler manifolds. (English) Zbl 1195.53099 Compos. Math. 146, No. 1, 259-270 (2010). Reviewer: Zbigniew Olszak (Wrocław) MSC: 53C55 58J35 53C44 PDF BibTeX XML Cite \textit{A. Chau} and \textit{L.-F. Tam}, Compos. Math. 146, No. 1, 259--270 (2010; Zbl 1195.53099) Full Text: DOI arXiv
Eyssidieux, Philippe; Guedj, Vincent; Zeriahi, Ahmed Singular Kähler-Einstein metrics. (English) Zbl 1215.32017 J. Am. Math. Soc. 22, No. 3, 607-639 (2009). Reviewer: Slawomir Kołodziej (Kraków) MSC: 32W20 32Q20 32J27 14J17 PDF BibTeX XML Cite \textit{P. Eyssidieux} et al., J. Am. Math. Soc. 22, No. 3, 607--639 (2009; Zbl 1215.32017) Full Text: DOI
Yin, WeiPing; Yin, XiaoLan On the solution of Dirichlet problem of complex Monge-Ampère equation on Cartan-Hartogs domain of the second type. (English) Zbl 1194.65040 Sci. China, Ser. A 52, No. 12, 2829-2840 (2009). MSC: 65E05 35J96 53C55 PDF BibTeX XML Cite \textit{W. Yin} and \textit{X. Yin}, Sci. China, Ser. A 52, No. 12, 2829--2840 (2009; Zbl 1194.65040) Full Text: DOI
Chen, Xiuxiong; Tian, Gang Geometry of Kähler metrics and foliations by holomorphic discs. (English) Zbl 1182.32009 Publ. Math., Inst. Hautes Étud. Sci. 107, 1-107 (2008). Reviewer: Gabriela Paola Ovando (Freiburg) MSC: 32Q20 32W20 32Q15 53C12 53C21 PDF BibTeX XML Cite \textit{X. Chen} and \textit{G. Tian}, Publ. Math., Inst. Hautes Étud. Sci. 107, 1--107 (2008; Zbl 1182.32009) Full Text: DOI
Yin, Weiping; Yin, Xiaolan A research into the numerical method of Dirichlet’s problem of complex Monge-Ampère equation on Cartan-Hartogs domain of the third type. (English) Zbl 1145.65051 J. Math. Anal. Appl. 339, No. 1, 295-302 (2008). Reviewer: Murli Gupta (Washington, D. C.) MSC: 65L10 34B15 34M55 PDF BibTeX XML Cite \textit{W. Yin} and \textit{X. Yin}, J. Math. Anal. Appl. 339, No. 1, 295--302 (2008; Zbl 1145.65051) Full Text: DOI
Douglas, Michael R.; Karp, Robert L.; Lukic, Sergio; Reinbacher, René Numerical solution to the hermitian Yang-Mills equation on the Fermat quintic. (English) Zbl 1246.14052 J. High Energy Phys. 2007, No. 12, Paper No. 083, 24 p. (2007). MSC: 14J32 14J60 14J81 32Q20 32Q25 53C07 68W25 81T30 81T80 PDF BibTeX XML Cite \textit{M. R. Douglas} et al., J. High Energy Phys. 2007, No. 12, Paper No. 083, 24 p. (2007; Zbl 1246.14052) Full Text: DOI arXiv
Phong, D. H.; Sesum, Natasa; Sturm, Jacob Multiplier ideal sheaves and the Kähler-Ricci flow. (English) Zbl 1143.53064 Commun. Anal. Geom. 15, No. 3, 613-632 (2007). Reviewer: Mihail Banaru (Smolensk) MSC: 53C44 53C55 14J45 14F99 PDF BibTeX XML Cite \textit{D. H. Phong} et al., Commun. Anal. Geom. 15, No. 3, 613--632 (2007; Zbl 1143.53064) Full Text: DOI Euclid arXiv
Nemirovski, S. Yu; Shafikov, R. G. Conjectures of Cheng and Ramadanov. (English. Russian original) Zbl 1120.32006 Russ. Math. Surv. 61, No. 4, 780-782 (2006); translation from Usp. Mat. Nauk 61, No. 4, 193-194 (2006). Reviewer: Gregor Herbort (Wuppertal) MSC: 32F45 32Q20 PDF BibTeX XML Cite \textit{S. Y. Nemirovski} and \textit{R. G. Shafikov}, Russ. Math. Surv. 61, No. 4, 780--782 (2006; Zbl 1120.32006); translation from Usp. Mat. Nauk 61, No. 4, 193--194 (2006) Full Text: DOI arXiv
Li, Zhen Yang; Zhang, Xi Dirichlet problem for Hermitian Yang-Mills-Higgs equations over Hermitian manifolds. (English) Zbl 1082.58022 J. Math. Anal. Appl. 310, No. 1, 68-80 (2005). Reviewer: Imre Patyi (Atlanta) MSC: 58J32 53C55 58J35 32Q20 32L05 PDF BibTeX XML Cite \textit{Z. Y. Li} and \textit{X. Zhang}, J. Math. Anal. Appl. 310, No. 1, 68--80 (2005; Zbl 1082.58022) Full Text: DOI
Chen, Binglong; Tang, Siuhung; Zhu, Xiping A uniformization theorem for complete non-compact Kähler surfaces with positive bisectional curvature. (English) Zbl 1100.32009 J. Differ. Geom. 67, No. 3, 519-570 (2004). Reviewer: Witold Mozgawa (Lublin) MSC: 32Q30 53C44 53C21 32Q20 53C55 PDF BibTeX XML Cite \textit{B. Chen} et al., J. Differ. Geom. 67, No. 3, 519--570 (2004; Zbl 1100.32009) Full Text: DOI
Chau, Albert Convergence of the Kähler-Ricci flow on noncompact Kähler manifolds. (English) Zbl 1082.53070 J. Differ. Geom. 66, No. 2, 211-232 (2004). Reviewer: Liviu Ornea (Bucureşti) MSC: 53C44 53C55 32Q20 PDF BibTeX XML Cite \textit{A. Chau}, J. Differ. Geom. 66, No. 2, 211--232 (2004; Zbl 1082.53070) Full Text: DOI Euclid
Smoczyk, Knut Longtime existence of the Lagrangian mean curvature flow. (English) Zbl 1082.53071 Calc. Var. Partial Differ. Equ. 20, No. 1, 25-46 (2004). Reviewer: Mikhail Malakhal’tsev (Kazan) MSC: 53C44 53D12 PDF BibTeX XML Cite \textit{K. Smoczyk}, Calc. Var. Partial Differ. Equ. 20, No. 1, 25--46 (2004; Zbl 1082.53071) Full Text: DOI
Pons, Daniel Generalised Einstein equations and prescribed relations for the first Chern Weil form. (English) Zbl 1054.32011 Ann. Global Anal. Geom. 25, No. 2, 177-200 (2004). Reviewer: Liviu Ornea (Albuquerque) MSC: 32J27 32Q20 35J60 53C25 PDF BibTeX XML Cite \textit{D. Pons}, Ann. Global Anal. Geom. 25, No. 2, 177--200 (2004; Zbl 1054.32011) Full Text: DOI
Wang, An; Yin, Weiping The Einstein-Kähler metrics on Hua domain. (English) Zbl 1061.32018 J. Korean Math. Soc. 40, No. 4, 609-627 (2003). Reviewer: Bruce Gilligan (Regina) MSC: 32Q20 32W20 PDF BibTeX XML Cite \textit{A. Wang} and \textit{W. Yin}, J. Korean Math. Soc. 40, No. 4, 609--627 (2003; Zbl 1061.32018) Full Text: DOI
Álvarez-Cónsul, Luis; García-Prada, Oscar Dimensional reduction and quiver bundles. (English) Zbl 1020.53047 J. Reine Angew. Math. 556, 1-46 (2003). MSC: 53C55 32Q20 53C25 PDF BibTeX XML Cite \textit{L. Álvarez-Cónsul} and \textit{O. García-Prada}, J. Reine Angew. Math. 556, 1--46 (2003; Zbl 1020.53047) Full Text: DOI
Chen, Jing Yi; Li, Jia Yu; Tian, Gang Two-dimensional graphs moving by mean curvature flow. (English) Zbl 1028.53069 Acta Math. Sin., Engl. Ser. 18, No. 2, 209-224 (2002). Reviewer: Serguey M.Pokas (Odessa) MSC: 53C44 53C21 58J35 PDF BibTeX XML Cite \textit{J. Y. Chen} et al., Acta Math. Sin., Engl. Ser. 18, No. 2, 209--224 (2002; Zbl 1028.53069) Full Text: DOI
Zhu, Xiaohua Ricci curvature on the blow-up of \(\mathbb C P ^ 2\) at two points. (English) Zbl 1055.53032 Pac. J. Math. 206, No. 1, 245-256 (2002). Reviewer: Gheorghe Pitiş (Braşov) MSC: 53C25 53C55 32Q20 PDF BibTeX XML Cite \textit{X. Zhu}, Pac. J. Math. 206, No. 1, 245--256 (2002; Zbl 1055.53032) Full Text: DOI
Wang, Xiaowei Balance point and stability of vector bundles over a projective manifold. (English) Zbl 1011.32016 Math. Res. Lett. 9, No. 2-3, 393-411 (2002). Reviewer: Edoardo Ballico (Povo) MSC: 32L10 32Q20 14J60 14F05 58J35 PDF BibTeX XML Cite \textit{X. Wang}, Math. Res. Lett. 9, No. 2--3, 393--411 (2002; Zbl 1011.32016) Full Text: DOI
Czyż, Rafał The complex Monge-Ampère equation for complex homogeneous functions in \({\mathbb C}^n\). (English) Zbl 0976.32023 Ann. Pol. Math. 76, No. 3, 287-302 (2001). Reviewer: Alexandr Yu.Rashkovsky (Khar’kov) MSC: 32W20 32U15 PDF BibTeX XML Cite \textit{R. Czyż}, Ann. Pol. Math. 76, No. 3, 287--302 (2001; Zbl 0976.32023) Full Text: DOI
Chen, Xiuxiong; Tian, Gang Ricci flow on Kähler manifolds. (English. Abridged French version) Zbl 0982.53065 C. R. Acad. Sci., Paris, Sér. I, Math. 332, No. 3, 245-248 (2001). Reviewer: Jose Carmelo Gonzalez-Davila (La Laguna) MSC: 53C55 58J35 53C25 53C44 PDF BibTeX XML Cite \textit{X. Chen} and \textit{G. Tian}, C. R. Acad. Sci., Paris, Sér. I, Math. 332, No. 3, 245--248 (2001; Zbl 0982.53065) Full Text: DOI arXiv
Tian, Gang; Zhu, Xiaohua Uniqueness of Kähler-Ricci solitons. (English) Zbl 1036.53052 Acta Math. 184, No. 2, 271-305 (2000). Reviewer: Liviu Ornea (Bucureşti) MSC: 53C55 53C21 35Q51 32Q20 32W20 53C25 53C44 PDF BibTeX XML Cite \textit{G. Tian} and \textit{X. Zhu}, Acta Math. 184, No. 2, 271--305 (2000; Zbl 1036.53052) Full Text: DOI
Aguilar, Raúl Miguel Pseudo-Riemannian metrics, Kähler-Einstein metrics on Grauert tubes and harmonic Riemannian manifolds. (English) Zbl 0997.32019 Q. J. Math. 51, No. 1, 1-17 (2000). Reviewer: Joël Merker (Marseille) MSC: 32Q20 32W20 53B35 53B20 PDF BibTeX XML Cite \textit{R. M. Aguilar}, Q. J. Math. 51, No. 1, 1--17 (2000; Zbl 0997.32019) Full Text: DOI
Tian, Gang Kähler-Einstein manifolds of positive scalar curvature. (English) Zbl 1002.53049 LeBrun, Claude (ed.) et al., Surveys in differential geometry: essays on Einstein manifolds. Lectures on geometry and topology, sponsored by Lehigh University’s Journal of Differential Geometry. Cambridge, MA: International Press. Surv. Differ. Geom., Suppl. J. Differ. Geom. 6, 67-82 (1999). Reviewer: Eric Boeckx (Leuven) MSC: 53C55 32Q20 53C25 53C20 PDF BibTeX XML Cite \textit{G. Tian}, Surv. Differ. Geom., Suppl. J. Differ. Geom. 6, 67--82 (1999; Zbl 1002.53049)
Harris, Adam Hartogs phenomena for Hermitian vector bundles. (English) Zbl 0968.53019 Slovák, Jan (ed.) et al., Proceedings of the 18th winter school “Geometry and physics”, Srní, Czech Republic, January 10-17, 1998. Palermo: Circolo Matematico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 59, 155-160 (1999). Reviewer: A.Neagu (Iaşi) MSC: 53C07 53C55 32Q20 PDF BibTeX XML Cite \textit{A. Harris}, in: Proceedings of the 18th winter school ``Geometry and physics'', Srní, Czech Republic, January 10--17, 1998. Palermo: Circolo Matematico di Palermo. 155--160 (1999; Zbl 0968.53019)
Smoczyk, Knut Harnack inequality for the Lagrangian mean curvature flow. (English) Zbl 0973.53066 Calc. Var. Partial Differ. Equ. 8, No. 3, 247-258 (1999). Reviewer: Jose Carmelo Gonzalez-Davila (La Laguna) MSC: 53D12 35K05 53C44 PDF BibTeX XML Cite \textit{K. Smoczyk}, Calc. Var. Partial Differ. Equ. 8, No. 3, 247--258 (1999; Zbl 0973.53066) Full Text: DOI
Stupariu, Mihai-Sorin The Kobayashi-Hitchin correspondence for vortex-type equations coupled with Higgs fields. (English) Zbl 0941.32023 Zürich: Univ. Zürich, Philosophische Fakultät II, ix, 99 p. (1998). MSC: 32Q20 32-02 58J99 PDF BibTeX XML Cite \textit{M.-S. Stupariu}, The Kobayashi-Hitchin correspondence for vortex-type equations coupled with Higgs fields. Zürich: Univ. Zürich, Philosophische Fakultät II (1998; Zbl 0941.32023)
Nadel, Alan M. Multiplier ideal sheaves and Futaki’s invariant. (English) Zbl 0917.32024 Bourguignon, Jean-Pierre (ed.) et al., Geometric theory of singular phenomena in partial differential equations. Proceedings of the workshop, Cortona, Italy, May 15–19, 1995. Cambridge: Cambridge University Press. Symp. Math. 38, 7-16 (1998). Reviewer: G.Zhang (Karlstad) MSC: 32Q20 32J27 PDF BibTeX XML Cite \textit{A. M. Nadel}, in: Geometric theory of singular phenomena in partial differential equations. Proceedings of the workshop, Cortona, Italy, May 15--19, 1995. Cambridge: Cambridge University Press. 7--16 (1998; Zbl 0917.32024)
Zhu, Xiaohua Nonexistence of Kähler-Einstein metrics and solutions of degenerate complex Monge-Ampère equations. (Chinese) Zbl 0933.32035 Chin. Ann. Math., Ser. A 19, No. 1, 93-104 (1998). Reviewer: B.-Y.Chen (East Lansing) MSC: 32Q20 32W20 PDF BibTeX XML Cite \textit{X. Zhu}, Chin. Ann. Math., Ser. A 19, No. 1, 93--104 (1998; Zbl 0933.32035)
Okonek, Christian; Teleman, Andrei Quaternionic monopoles. (English) Zbl 0872.58015 Commun. Math. Phys. 180, No. 2, 363-388 (1996). MSC: 58D27 57R57 58J20 32Q20 PDF BibTeX XML Cite \textit{C. Okonek} and \textit{A. Teleman}, Commun. Math. Phys. 180, No. 2, 363--388 (1996; Zbl 0872.58015) Full Text: DOI arXiv
Bourguignon, Jean Pierre Eugenio Calabi and Kähler metrics. (English) Zbl 0911.53002 de Bartolomeis, Paolo (ed.) et al., Manifolds and geometry. Proceedings of a conference, held in Pisa, Italy, September 1993. Cambridge: Cambridge University Press. Symp. Math. 36, 61-85 (1996). Reviewer: S.Dimiev (Sofia) MSC: 53-02 01A70 53C55 53-03 14C30 32C18 32J27 58E15 81T13 81T30 PDF BibTeX XML Cite \textit{J. P. Bourguignon}, in: Manifolds and geometry. Proceedings of a conference, held in Pisa, Italy, September 1993. Cambridge: Cambridge University Press. 61--85 (1996; Zbl 0911.53002)
Guo, Guang-Yuan On an analytic proof of a result by Donaldson. (English) Zbl 0902.53019 Int. J. Math. 7, No. 1, 1-17 (1996). Reviewer: T.Lawson (New Orleans) MSC: 53C07 32Q20 PDF BibTeX XML Cite \textit{G.-Y. Guo}, Int. J. Math. 7, No. 1, 1--17 (1996; Zbl 0902.53019) Full Text: DOI
Bradlow, Steven B.; García-Prada, Oscar Stable triples, equivariant bundles and dimensional reduction. (English) Zbl 0852.32016 Math. Ann. 304, No. 2, 225-252 (1996). Reviewer: E.Ballico (Povo) MSC: 32Q20 14H60 14F05 PDF BibTeX XML Cite \textit{S. B. Bradlow} and \textit{O. García-Prada}, Math. Ann. 304, No. 2, 225--252 (1996; Zbl 0852.32016) Full Text: DOI EuDML arXiv
Bradlow, Steven B. Hermitian-Einstein inequalities and Harder-Narasimhan filtrations. (English) Zbl 0853.53021 Int. J. Math. 6, No. 5, 645-656 (1995). Reviewer: N.Blažić (Beograd) MSC: 53C07 32Q20 53C55 PDF BibTeX XML Cite \textit{S. B. Bradlow}, Int. J. Math. 6, No. 5, 645--656 (1995; Zbl 0853.53021) Full Text: DOI arXiv
Isaev, A. V. Kähler-Einstein metric on Reinhardt domains. (English) Zbl 0831.32001 J. Geom. Anal. 5, No. 2, 237-254 (1995). Reviewer: I-Hsun Tsai (Taipei) MSC: 32A07 32Q15 32W20 PDF BibTeX XML Cite \textit{A. V. Isaev}, J. Geom. Anal. 5, No. 2, 237--254 (1995; Zbl 0831.32001) Full Text: DOI
Nadel, Alan Michael Multiplier ideal sheaves and Kähler-Einstein metrics of positive scalar curvature. (English) Zbl 0731.53063 Ann. Math. (2) 132, No. 3, 549-596 (1990). Reviewer: R.R.Simha (Bombay) MSC: 53C55 14J45 32W20 32Q20 PDF BibTeX XML Cite \textit{A. M. Nadel}, Ann. Math. (2) 132, No. 3, 549--596 (1990; Zbl 0731.53063) Full Text: DOI
Tian, G. On Calabi’s conjecture for complex surfaces with positive first Chern class. (English) Zbl 0716.32019 Invent. Math. 101, No. 1, 101-172 (1990). Reviewer: Eberhard Oeljeklaus (Bremen) MSC: 32J15 53C55 32W20 53C25 PDF BibTeX XML Cite \textit{G. Tian}, Invent. Math. 101, No. 1, 101--172 (1990; Zbl 0716.32019) Full Text: DOI EuDML
Sugiyama, Ken-ichi Einstein-Kähler metrics on minimal varieties of general type and an inequality between Chern numbers. (English) Zbl 0770.53021 Recent topics in differential and analytic geometry, Adv. Stud. Pure Math. 18-I, 417-443 (1990). MSC: 53C07 32Q20 PDF BibTeX XML
Nadel, Alan Michael Multiplier ideal sheaves and existence of Kähler-Einstein metrics of positive scalar curvature. (English) Zbl 0711.53056 Proc. Natl. Acad. Sci. USA 86, No. 19, 7299-7300 (1989). Reviewer: H.-S.Luk MSC: 53C55 32C35 35B45 PDF BibTeX XML Cite \textit{A. M. Nadel}, Proc. Natl. Acad. Sci. USA 86, No. 19, 7299--7300 (1989; Zbl 0711.53056) Full Text: DOI
Berger, M. S.; Cherrier, P. A new variational method for finding Einstein metrics on compact Kähler manifolds. I. (English) Zbl 0658.53063 J. Funct. Anal. 79, No. 1, 103-135 (1988). Reviewer: T.Aubin MSC: 53C55 58E11 PDF BibTeX XML Cite \textit{M. S. Berger} and \textit{P. Cherrier}, J. Funct. Anal. 79, No. 1, 103--135 (1988; Zbl 0658.53063) Full Text: DOI
Siu, Yum Tong Kähler-Einstein metrics for the case of positive first Chern class. (English) Zbl 0623.53029 Complex analysis III, Proc. Spec. Year, College Park/Md. 1985-86, Lect. Notes Math. 1277, 120-130 (1987). Reviewer: Z.Olszak MSC: 53C55 PDF BibTeX XML
Cheng, S. Y.; Yau, S. T. Inequality between Chern numbers of singular Kähler surfaces and characterization of orbit space of discrete group of SU(2,1). (English) Zbl 0597.53052 Complex differential geometry and nonlinear differential equations, Proc. AMS-IMS-SIAM Joint Summer Res. Conf., Brunswick/Maine 1984, Contemp. Math. 49, 31-44 (1986). Reviewer: M.Lewkowicz MSC: 53C55 58J60 57R20 PDF BibTeX XML
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 PDF BibTeX XML Cite \textit{H.-D. Cao}, Invent. Math. 81, 359--372 (1985; Zbl 0574.53042) Full Text: DOI EuDML
Bedford, Eric; Taylor, B. A. The Dirichlet problem for an equation of complex Monge-Ampère type. (English) Zbl 0413.35017 Partial differential equations and geometry, Proc. Park City Conf. 1977, Lect. Notes Pure Appl. Math. 48, 39-50 (1979). MSC: 35D05 32T99 31C10 PDF BibTeX XML