A Note on compact Kähler manifolds with Nef Tangent Bundles.
Qi Zhang (1994)
Manuscripta mathematica
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Qi Zhang (1994)
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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)
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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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Koji Matsuo (2009)
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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.