Some Kähler structures on the tangent bundle of a space form.
Oproiu, V. (1997)
General Mathematics
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Oproiu, V. (1997)
General Mathematics
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G. Tian (1987)
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.
Huai-Dong Cao (1985)
Inventiones mathematicae
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Simone Calamai, David Petrecca (2017)
Complex Manifolds
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In this short note, we prove that a Calabi extremal Kähler-Ricci soliton on a compact toric Kähler manifold is Einstein. This settles for the class of toric manifolds a general problem stated by the authors that they solved only under some curvature assumptions.
Bo Berndtsson (2013)
Annales de la faculté des sciences de Toulouse Mathématiques
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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.
Wei-Yue Ding (1988)
Mathematische Annalen
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Lucia Alessandrini, Marco Andreatta (1987)
Compositio Mathematica
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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.
C. LeBrun, S.R. Simanca (1994)
Geometric and functional analysis
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Jürgen Bingener (1983)
Mathematische Zeitschrift
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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.
Oproiu, Vasile (1999)
Beiträge zur Algebra und Geometrie
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