A class of locally symmetric Kähler Einstein structures on the nonzero cotangent bundle of a space form.
Poroşniuc, Dumitru Daniel (2004)
Balkan Journal of Geometry and its Applications (BJGA)
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Poroşniuc, Dumitru Daniel (2004)
Balkan Journal of Geometry and its Applications (BJGA)
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Oproiu, Vasile (1999)
Beiträge zur Algebra und Geometrie
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Bo Berndtsson (2013)
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These are the lecture notes of a minicourse given at a winter school in Marseille 2011. The aim of the course was to give an introduction to recent work on the geometry of the space of Kähler metrics associated to an ample line bundle. The emphasis of the course was the role of convexity, both as a motivating example and as a tool.
Julien Keller, Christina Tønnesen-Friedman (2012)
Open Mathematics
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We provide nontrivial examples of solutions to the system of coupled equations introduced by M. García-Fernández for the uniformization problem of a triple (M; L; E), where E is a holomorphic vector bundle over a polarized complex manifold (M, L), generalizing the notions of both constant scalar curvature Kähler metric and Hermitian-Einstein metric.
S. Subramanian (1991)
Mathematische Annalen
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Wei-Yue Ding (1988)
Mathematische Annalen
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Huai-Dong Cao (1985)
Inventiones mathematicae
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Włodzimierz Jelonek (2012)
Colloquium Mathematicae
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The aim of this paper is to present examples of holomorphically pseudosymmetric Kähler metrics on the complex projective spaces ℂℙⁿ, where n ≥ 2.
Daniele Angella, Cristiano Spotti (2017)
Complex Manifolds
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We present classical and recent results on Kähler-Einstein metrics on compact complex manifolds, focusing on existence, obstructions and relations to algebraic geometric notions of stability (K-stability). These are the notes for the SMI course "Kähler-Einstein metrics" given by C.S. in Cortona (Italy), May 2017. The material is not intended to be original.
G. Tian (1987)
Inventiones mathematicae
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P. Topiwala (1987)
Inventiones mathematicae
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P. Topiwala (1987)
Inventiones mathematicae
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Tristan C. Collins, Valentino Tosatti (2014)
Annales de la faculté des sciences de Toulouse Mathématiques
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We prove an extension theorem for Kähler currents with analytic singularities in a Kähler class on a complex submanifold of a compact Kähler manifold.
Jürgen Bingener (1983)
Mathematische Zeitschrift
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