On the axiom of spheres in Kahler geometry
Differential Geometry
2010-04-26 v1
Abstract
It is known, that if a 2m-dimensional Kahler manifold satisfies the axiom of holomorphic 2n-spheres (1<n<m) or the axiom of antiholomorphic n-spheres (2<n), it is of constant holomorphic sectional curvature. In this paper the same result is obtained under weaker assumptions.
Keywords
Cite
@article{arxiv.1004.4058,
title = {On the axiom of spheres in Kahler geometry},
author = {Ognian Kassabov},
journal= {arXiv preprint arXiv:1004.4058},
year = {2010}
}
Comments
MR 85c:53105; 3 pages