Holomorphic Cartan geometries and Calabi-Yau manifolds

Biswas, Indranil ; McKay, Benjamin (2010) Holomorphic Cartan geometries and Calabi-Yau manifolds Journal of Geometry and Physics, 60 (4). pp. 661-663. ISSN 0393-0440

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S03930...

Related URL: http://dx.doi.org/10.1016/j.geomphys.2009.12.011

Abstract

Let M be a connected complex projective manifold such that c1(T(1,0)M)=0. If M admits a holomorphic Cartan geometry, then we show that M is holomorphically covered by an abelian variety.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:Cartan Geometry; Calabi-Yau Manifold; Connection
ID Code:3526
Deposited On:12 Oct 2010 04:20
Last Modified:12 Oct 2010 04:20

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