Moscow Mathematical Journal

Volume 16, Issue 4, October–December 2016 pp. 675–689.

Affine Connections on Complex Manifolds of Algebraic Dimension Zero

Authors: Sorin Dumitrescu (1) and Benjamin McKay (2)
Author institution:(1) Université Nice Sophia Antipolis, CNRS, LJAD, UMR 7351, 06108 NICE Cedex 02, France
(2) University College Cork, Cork, Ireland

Summary:

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

2010 Math. Subj. Class. Primary 53B21; Secondary 53C56, 53A55.

Keywords: Holomorphic affine connections, algebraic dimension.

Contents Full-Text PDF