Edit Profile (opens in new tab) Mabuchi, Toshiki Co-Author Distance Author ID: mabuchi.toshiki Published as: Mabuchi, Toshiki; Mabuchi, T. Documents Indexed: 58 Publications since 1977, including 1 Book 4 Contributions as Editor Co-Authors: 21 Co-Authors with 20 Joint Publications 377 Co-Co-Authors all top 5 Co-Authors 41 single-authored 6 Futaki, Akito 4 Nakagawa, Yasuhiro 3 Noguchi, Junjiro 3 Ochiai, Takushiro 2 Bando, Shigetoshi 2 Mukai, Shigeru 1 De Bartolomeis, Paolo 1 Greene, Robert Everist 1 Hwang, Andrew D. 1 Imayoshi, Yoichi 1 Jensen, Gary R. 1 Kobayashi, Hisashi 1 Kobayashi, Mei 1 Kobayashi, Yukiko 1 Kwack, Myung H. 1 Maeda, Yoshiaki 1 Miyaoka, Yoichi 1 Nitta, Yasufumi 1 Sakane, Yusuke 1 Shinozaki, Eriko 1 Weinstein, Alan David 1 Wolf, Joseph Albert 1 Wu, Hung-Hsi all top 5 Serials 11 Osaka Journal of Mathematics 5 Proceedings of the Japan Academy. Series A 5 Tôhoku Mathematical Journal. Second Series 4 Nagoya Mathematical Journal 3 Mathematische Annalen 3 International Journal of Mathematics 2 The Asian Journal of Mathematics 1 Inventiones Mathematicae 1 Journal of Mathematics of Kyoto University 1 Journal of the Mathematical Society of Japan 1 Science Reports 1 Notices of the American Mathematical Society 1 Lecture Notes in Pure and Applied Mathematics 1 Progress in Mathematics 1 Complex Manifolds 1 SpringerBriefs in Mathematics all top 5 Fields 41 Several complex variables and analytic spaces (32-XX) 41 Differential geometry (53-XX) 31 Algebraic geometry (14-XX) 8 Global analysis, analysis on manifolds (58-XX) 4 General and overarching topics; collections (00-XX) 3 Group theory and generalizations (20-XX) 2 Topological groups, Lie groups (22-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Functional analysis (46-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 44 Publications have been cited 667 times in 408 Documents Cited by ▼ Year ▼ Some symplectic geometry on compact Kähler manifolds. I. Zbl 0645.53038Mabuchi, Toshiki 121 1987 K-energy maps integrating Futaki invariants. Zbl 0619.53040Mabuchi, Toshiki 99 1986 Uniqueness of Einstein Kähler metrics modulo connected group actions. Zbl 0641.53065Bando, Shigetoshi; Mabuchi, Toshiki 91 1987 Bilinear forms and extremal Kähler vector fields associated with Kähler classes. Zbl 0831.53042Futaki, Akito; Mabuchi, Toshiki 62 1995 Einstein-Kähler forms, Futaki invariants and convex geometry on toric Fano varieties. Zbl 0661.53032Mabuchi, Toshiki 32 1987 An energy-theoretic approach to the Hitchin-Kobayashi correspondence for manifolds. I. Zbl 1118.53047Mabuchi, Toshiki 28 2005 Stability of extremal Kähler manifolds. Zbl 1076.32017Mabuchi, Toshiki 25 2004 Uniqueness of extremal Kähler metrics for an integral Kähler class. Zbl 1058.32017Mabuchi, Toshiki 24 2004 Stability and Einstein-Kähler metric of a quartic del Pezzo surface. Zbl 0809.53070Mabuchi, Toshiki; Mukai, Shigeru 17 1993 Multiplier Hermitian structures on Kähler manifolds. Zbl 1049.53051Mabuchi, Toshiki 17 2003 An energy-theoretic approach to the Hitchin-Kobayashi correspondence for manifolds. II. Zbl 1209.53032Mabuchi, Toshiki 14 2009 Moment maps and symmetric multilinear forms associated with symplectic classes. Zbl 1047.53053Futaki, Akito; Mabuchi, Toshiki 13 2002 An obstruction to asymptotic semistability and approximate critical metrics. Zbl 1070.58012Mabuchi, Toshiki 13 2004 Kähler-Einstein metrics for manifolds with nonvanishing Futaki character. Zbl 1040.53084Mabuchi, Toshiki 12 2001 An algebraic character associated with the Poisson brackets. Zbl 0743.53019Mabuchi, Toshiki 8 1990 A functional integrating Futaki’s invariant. Zbl 0589.53066Mabuchi, Toshiki 7 1985 Relative stability and extremal metrics. Zbl 1301.53072Mabuchi, Toshiki 7 2014 On some integral invariants on complex manifolds. I. Zbl 0592.32022Bando, Shigetoshi; Mabuchi, Toshiki 6 1986 Invariant beta and uniruled threefolds. Zbl 0511.32016Mabuchi, Toshiki 6 1982 Chow-stability and Hilbert-stability in Mumford’s geometric invariant theory. Zbl 1156.14039Mabuchi, Toshiki 6 2008 Asymptotics of polybalanced metrics under relative stability constraints. Zbl 1229.14037Mabuchi, Toshiki 6 2011 Asymptotic polybalanced kernels on extremal Kähler manifolds. Zbl 1479.53060Mabuchi, Toshiki 6 2018 Uniqueness and periodicity of extremal Kähler vector fields. Zbl 0829.32007Futaki, Akito; Mabuchi, Toshiki 5 1993 New examples of Sasaki-Einstein manifolds. Zbl 1288.53034Mabuchi, Toshiki; Nakagawa, Yasuhiro 4 2013 Einstein-Kähler metrics with positive Ricci curvature. Zbl 0755.32028Futaki, A.; Mabuchi, T.; Sakane, Y. 3 1990 On the classification of essentially effective SL(2;C)x SL(2;C)-actions on algebraic threefolds. Zbl 0422.14028Mabuchi, Toshiki 3 1979 Extremal metrics and stabilities on polarized manifolds. Zbl 1106.32018Mabuchi, Toshiki 3 2006 A theorem of Calabi-Matsushima’s type. Zbl 1010.53037Mabuchi, Toshiki 3 2002 The Bando-Calabi-Futaki character as an obstruction to semistability. Zbl 1009.32014Mabuchi, Toshiki; Nakagawa, Yasuhiro 3 2002 \(\mathbb{C}^3\)-actions and algebraic threefolds with ample tangent bundle. Zbl 0352.32022Mabuchi, Toshiki 2 1978 \(\mathbb{C}^3\)-actions and algebraic threefolds with ample tangent bundle. Zbl 0359.32009Mabuchi, Toshiki 2 1978 Asymptotic structures in the geometry of stability and extremal metrics. Zbl 1152.32301Mabuchi, Toshiki 2 2008 The Yau-Tian-Donaldson Conjecture for general polarizations. I. Zbl 1356.32010Mabuchi, Toshiki 2 2016 A conjecture on the group of biholomorphisms of a nonsingular Fano variety. Zbl 0838.14006Hwang, Andrew D.; Mabuchi, Toshiki 2 1993 Heat kernel estimates and the Green functions on multiplier Hermitian manifolds. Zbl 1037.32033Mabuchi, Toshiki 2 2002 Vector field energies and critical metrics on Kähler manifolds. Zbl 0987.53030Mabuchi, Toshiki 2 2001 Erratum: “The Bando-Calabi-Futaki character as an obstruction to semistability”. Zbl 1061.32017Mabuchi, T.; Nakagawa, Y. 2 2004 Compactification of the moduli space of Einstein-Kähler orbifolds. Zbl 0747.32020Mabuchi, Toshiki 1 1990 Einstein metrics in complex geometry: An introduction. Zbl 0754.53052Mabuchi, Toshiki 1 1990 Algebraic threefolds with ample tangent bundle. Zbl 0384.14015Mabuchi, Toshiki 1 1977 Almost homogeneous torus actions on varieties with ample tangent bundle. Zbl 0412.14026Mabuchi, Toshiki 1 1978 An obstruction class and a representation of holomorphic automorphisms. Zbl 0646.32015Futaki, Akito; Mabuchi, Toshiki 1 1988 \(Q\)-rationality of moment maps. Zbl 0807.53027Mabuchi, Toshiki 1 1993 The Donaldson-Futaki invariant for sequences of test configurations. Zbl 1367.32021Mabuchi, Toshiki 1 2015 Asymptotic polybalanced kernels on extremal Kähler manifolds. Zbl 1479.53060Mabuchi, Toshiki 6 2018 The Yau-Tian-Donaldson Conjecture for general polarizations. I. Zbl 1356.32010Mabuchi, Toshiki 2 2016 The Donaldson-Futaki invariant for sequences of test configurations. Zbl 1367.32021Mabuchi, Toshiki 1 2015 Relative stability and extremal metrics. Zbl 1301.53072Mabuchi, Toshiki 7 2014 New examples of Sasaki-Einstein manifolds. Zbl 1288.53034Mabuchi, Toshiki; Nakagawa, Yasuhiro 4 2013 Asymptotics of polybalanced metrics under relative stability constraints. Zbl 1229.14037Mabuchi, Toshiki 6 2011 An energy-theoretic approach to the Hitchin-Kobayashi correspondence for manifolds. II. Zbl 1209.53032Mabuchi, Toshiki 14 2009 Chow-stability and Hilbert-stability in Mumford’s geometric invariant theory. Zbl 1156.14039Mabuchi, Toshiki 6 2008 Asymptotic structures in the geometry of stability and extremal metrics. Zbl 1152.32301Mabuchi, Toshiki 2 2008 Extremal metrics and stabilities on polarized manifolds. Zbl 1106.32018Mabuchi, Toshiki 3 2006 An energy-theoretic approach to the Hitchin-Kobayashi correspondence for manifolds. I. Zbl 1118.53047Mabuchi, Toshiki 28 2005 Stability of extremal Kähler manifolds. Zbl 1076.32017Mabuchi, Toshiki 25 2004 Uniqueness of extremal Kähler metrics for an integral Kähler class. Zbl 1058.32017Mabuchi, Toshiki 24 2004 An obstruction to asymptotic semistability and approximate critical metrics. Zbl 1070.58012Mabuchi, Toshiki 13 2004 Erratum: “The Bando-Calabi-Futaki character as an obstruction to semistability”. Zbl 1061.32017Mabuchi, T.; Nakagawa, Y. 2 2004 Multiplier Hermitian structures on Kähler manifolds. Zbl 1049.53051Mabuchi, Toshiki 17 2003 Moment maps and symmetric multilinear forms associated with symplectic classes. Zbl 1047.53053Futaki, Akito; Mabuchi, Toshiki 13 2002 A theorem of Calabi-Matsushima’s type. Zbl 1010.53037Mabuchi, Toshiki 3 2002 The Bando-Calabi-Futaki character as an obstruction to semistability. Zbl 1009.32014Mabuchi, Toshiki; Nakagawa, Yasuhiro 3 2002 Heat kernel estimates and the Green functions on multiplier Hermitian manifolds. Zbl 1037.32033Mabuchi, Toshiki 2 2002 Kähler-Einstein metrics for manifolds with nonvanishing Futaki character. Zbl 1040.53084Mabuchi, Toshiki 12 2001 Vector field energies and critical metrics on Kähler manifolds. Zbl 0987.53030Mabuchi, Toshiki 2 2001 Bilinear forms and extremal Kähler vector fields associated with Kähler classes. Zbl 0831.53042Futaki, Akito; Mabuchi, Toshiki 62 1995 Stability and Einstein-Kähler metric of a quartic del Pezzo surface. Zbl 0809.53070Mabuchi, Toshiki; Mukai, Shigeru 17 1993 Uniqueness and periodicity of extremal Kähler vector fields. Zbl 0829.32007Futaki, Akito; Mabuchi, Toshiki 5 1993 A conjecture on the group of biholomorphisms of a nonsingular Fano variety. Zbl 0838.14006Hwang, Andrew D.; Mabuchi, Toshiki 2 1993 \(Q\)-rationality of moment maps. Zbl 0807.53027Mabuchi, Toshiki 1 1993 An algebraic character associated with the Poisson brackets. Zbl 0743.53019Mabuchi, Toshiki 8 1990 Einstein-Kähler metrics with positive Ricci curvature. Zbl 0755.32028Futaki, A.; Mabuchi, T.; Sakane, Y. 3 1990 Compactification of the moduli space of Einstein-Kähler orbifolds. Zbl 0747.32020Mabuchi, Toshiki 1 1990 Einstein metrics in complex geometry: An introduction. Zbl 0754.53052Mabuchi, Toshiki 1 1990 An obstruction class and a representation of holomorphic automorphisms. Zbl 0646.32015Futaki, Akito; Mabuchi, Toshiki 1 1988 Some symplectic geometry on compact Kähler manifolds. I. Zbl 0645.53038Mabuchi, Toshiki 121 1987 Uniqueness of Einstein Kähler metrics modulo connected group actions. Zbl 0641.53065Bando, Shigetoshi; Mabuchi, Toshiki 91 1987 Einstein-Kähler forms, Futaki invariants and convex geometry on toric Fano varieties. Zbl 0661.53032Mabuchi, Toshiki 32 1987 K-energy maps integrating Futaki invariants. Zbl 0619.53040Mabuchi, Toshiki 99 1986 On some integral invariants on complex manifolds. I. Zbl 0592.32022Bando, Shigetoshi; Mabuchi, Toshiki 6 1986 A functional integrating Futaki’s invariant. Zbl 0589.53066Mabuchi, Toshiki 7 1985 Invariant beta and uniruled threefolds. Zbl 0511.32016Mabuchi, Toshiki 6 1982 On the classification of essentially effective SL(2;C)x SL(2;C)-actions on algebraic threefolds. Zbl 0422.14028Mabuchi, Toshiki 3 1979 \(\mathbb{C}^3\)-actions and algebraic threefolds with ample tangent bundle. Zbl 0352.32022Mabuchi, Toshiki 2 1978 \(\mathbb{C}^3\)-actions and algebraic threefolds with ample tangent bundle. Zbl 0359.32009Mabuchi, Toshiki 2 1978 Almost homogeneous torus actions on varieties with ample tangent bundle. Zbl 0412.14026Mabuchi, Toshiki 1 1978 Algebraic threefolds with ample tangent bundle. Zbl 0384.14015Mabuchi, Toshiki 1 1977 all cited Publications top 5 cited Publications all top 5 Cited by 292 Authors 21 Mabuchi, Toshiki 19 Tian, Gang 17 Zhu, Xiaohua 16 Chen, Xiuxiong 15 Darvas, Tamás 12 Rubinstein, Yanir A. 11 He, Weiyong 9 Berman, Robert J. 9 Futaki, Akito 8 Nakagawa, Yasuhiro 7 Boyer, Charles P. 7 Tipler, Carl 7 Tønnesen-Friedman, Christina Wiis 6 Arezzo, Claudio 6 Berndtsson, Bo 6 Liu, Yuchen 6 Loi, Andrea 6 Sano, Yuji 6 Sun, Song 6 Székelyhidi, Gábor 6 Xu, Chenyang 6 Zhou, Bin 5 Boucksom, Sébastien 5 Guedj, Vincent 5 LeBrun, Claude R. 5 Legendre, Eveline 5 Li, Chi 5 Li, Haozhao 5 Ono, Hajime 5 Song, Jian 5 Streets, Jeffrey D. 5 Wang, Feng 5 Zelditch, Steve 4 Apostolov, Vestislav 4 Chu, Jianchun 4 Collins, Tristan Clifford 4 Delcroix, Thibaut 4 Di Nezza, Eleonora 4 Hisamoto, Tomoyuki 4 Huang, Hongnian 4 Lu, Chinh Hoang 4 Maschler, Gideon 4 Nakamura, Satoshi 4 Phong, Duong Hong 4 Ross, Julius 4 Simanca, Santiago R. 4 Wang, Bing 4 Yau, Shing-Tung 4 Zeriahi, Ahmed 4 Zhang, Xi 4 Zheng, Kai 4 Zuddas, Fabio 3 Auvray, Hugues 3 Bilal, Adel 3 Calderbank, David M. J. 3 Cao, Huai-Dong 3 Chen, Bohui 3 de Lacroix, Corinne 3 Deng, Yuxing 3 Dervan, Ruadhaí 3 Guan, Daniel Zhuang-Dan 3 Gursky, Matthew J. 3 Hwang, Andrew D. 3 Jeffres, Thalia D. 3 Keller, Julien 3 Lempert, László 3 Li, An-Min 3 Li, Long 3 Liu, Jiawei 3 Nitta, Yasufumi 3 Odaka, Yuji 3 Pacard, Frank 3 Sheng, Li 3 Sjöström Dyrefelt, Zakarias 3 Spotti, Cristiano 3 Stoppa, Jacopo 3 Trusiani, Antonio 3 Witt Nyström, David 2 Abja, Soufian 2 Álvarez-Cónsul, Luis 2 Bando, Shigetoshi 2 Calamai, Simone 2 Ding, Weiyue 2 Erbin, Harold 2 Eyssidieux, Philippe 2 Ferrari, Frank 2 Fujita, Kento 2 Galicki, Krzysztof 2 Garcia-Fernandez, Mario 2 García-Prada, Oscar 2 Gauduchon, Paul 2 Guan, Pengfei 2 Guo, Bin 2 Hao, Yihong 2 Hu, Jingchen 2 Ioos, Louis 2 Jiang, Wenshuai 2 Klevtsov, Semyon 2 Lejmi, Mehdi 2 Lu, Zhiqin ...and 192 more Authors all top 5 Cited in 92 Serials 28 Advances in Mathematics 24 The Journal of Geometric Analysis 20 Mathematische Annalen 16 Inventiones Mathematicae 16 Transactions of the American Mathematical Society 15 Mathematische Zeitschrift 15 Tôhoku Mathematical Journal. Second Series 14 Journal für die Reine und Angewandte Mathematik 12 Proceedings of the American Mathematical Society 11 Duke Mathematical Journal 10 International Journal of Mathematics 9 Annales de l’Institut Fourier 9 Journal of Functional Analysis 9 Proceedings of the Japan Academy. Series A 8 Osaka Journal of Mathematics 7 Annals of Global Analysis and Geometry 7 Journal of the American Mathematical Society 6 Communications in Mathematical Physics 6 Journal of the Mathematical Society of Japan 5 Annals of Mathematics. Second Series 5 Journal of the European Mathematical Society (JEMS) 5 Journal of High Energy Physics 5 Complex Manifolds 4 Acta Mathematica 4 Journal of the London Mathematical Society. Second Series 4 Differential Geometry and its Applications 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Calculus of Variations and Partial Differential Equations 4 Geometry & Topology 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 4 Analysis & PDE 3 Analysis Mathematica 3 Journal of Geometry and Physics 3 Compositio Mathematica 3 Publications Mathématiques 3 Manuscripta Mathematica 3 Geometric and Functional Analysis. GAFA 3 Journal of the Institute of Mathematics of Jussieu 3 Communications in Mathematics and Statistics 2 Journal of Mathematical Analysis and Applications 2 Bulletin of the London Mathematical Society 2 Bulletin de la Société Mathématique de France 2 Journal of Differential Geometry 2 Nagoya Mathematical Journal 2 Chinese Annals of Mathematics. Series B 2 Journal of Algebraic Geometry 2 Journal of Mathematical Sciences (New York) 2 Selecta Mathematica. New Series 2 Acta Mathematica Sinica. English Series 2 Communications in Contemporary Mathematics 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Oberwolfach Reports 2 Japanese Journal of Mathematics. 3rd Series 2 Science China. Mathematics 2 Annales Mathématiques du Québec 2 Annals of PDE 1 Classical and Quantum Gravity 1 Communications on Pure and Applied Mathematics 1 Nuclear Physics. B 1 Beiträge zur Algebra und Geometrie 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Mathematica Vietnamica 1 American Journal of Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Polonici Mathematici 1 Geometriae Dedicata 1 Journal of Differential Equations 1 Kodai Mathematical Journal 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Publicacions Matemàtiques 1 Science in China. Series A 1 IMRN. International Mathematics Research Notices 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Kyushu Journal of Mathematics 1 Bulletin des Sciences Mathématiques 1 Discrete and Continuous Dynamical Systems 1 Advances in Geometry 1 Central European Journal of Mathematics 1 International Journal of Geometric Methods in Modern Physics 1 Complex Variables and Elliptic Equations 1 The Journal of Prime Research in Mathematics 1 Kyoto Journal of Mathematics 1 Analysis and Mathematical Physics 1 Forum of Mathematics, Sigma 1 EMS Surveys in Mathematical Sciences 1 Geometry 1 European Journal of Mathematics 1 Geometric Flows 1 Annales Henri Lebesgue all top 5 Cited in 31 Fields 307 Differential geometry (53-XX) 241 Several complex variables and analytic spaces (32-XX) 134 Algebraic geometry (14-XX) 82 Global analysis, analysis on manifolds (58-XX) 31 Partial differential equations (35-XX) 7 Relativity and gravitational theory (83-XX) 4 Potential theory (31-XX) 4 Algebraic topology (55-XX) 3 Convex and discrete geometry (52-XX) 3 Manifolds and cell complexes (57-XX) 3 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 Functions of a complex variable (30-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 \(K\)-theory (19-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year