This article is cited in 1 paper

Affine connections on complex manifolds of algebraic dimension zero

Sorin Dumitrescu^a, Benjamin McKay<sup>b

a</sup> Université Nice Sophia Antipolis, CNRS, LJAD, UMR 7351, 06108 NICE Cedex 02, France
^b University College Cork, Cork, Ireland

Abstract: We prove that any compact complex manifold with finite fundamental group and algebraic dimension zero admits no holomorphic affine connection or holomorphic conformal structure.

Key words and phrases: holomorphic affine connections, algebraic dimension.

MSC: Primary 53B21; Secondary 53C56, 53A55

Received: September 25, 2015; in revised form January 15, 2016

Language: English

DOI: 10.17323/1609-4514-2016-16-4-675-689

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