A Note on compact Kähler manifolds with Nef Tangent Bundles.
Qi Zhang (1994)
Manuscripta mathematica
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Qi Zhang (1994)
Manuscripta mathematica
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Holubowicz, Ryszard, Mozgawa, Witold
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Lucia Alessandrini, Marco Andreatta (1987)
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Giovanni Gaiffi, Michele Grassi (2009)
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Marco Brunella, Jorge Vitório Pereira, Frédéric Touzet (2006)
Bulletin de la Société Mathématique de France
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This paper is concerned with compact Kähler manifolds whose tangent bundle splits as a sum of subbundles. In particular, it is shown that if the tangent bundle is a sum of line bundles, then the manifold is uniformised by a product of curves. The methods are taken from the theory of foliations of (co)dimension 1.
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.
Oproiu, Vasile (1999)
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Włodzimierz Jelonek (2003)
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The aim of this paper is to give an easy explicit description of 3-K-contact structures on SO(3)-principal fibre bundles over Wolf quaternionic Kähler manifolds.
Koji Matsuo (2009)
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We show that there exist astheno-Kähler structures on Calabi-Eckmann manifolds.
Arif Salimov, Aydin Gezer, Murat Iscan (2012)
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The main purpose of this article is to investigate the paraholomorphy property of the Sasaki and Cheeger-Gromoll metrics by using compatible paracomplex stuctures on the tangent bundle.
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.