Complex contact manifolds and circle actions
Geometric Topology
2009-11-02 v1 Differential Geometry
Abstract
We prove rigidity and vanishing theorems for several holomorphic Euler characteristics on complex contact manifolds admitting holomorphic circle actions preserving the contact structure. Such vanishings are reminiscent of those of LeBrun and Salamon on Fano contact manifolds but under a symmetry assumption instead of a curvature condition.
Cite
@article{arxiv.0910.5882,
title = {Complex contact manifolds and circle actions},
author = {Haydee Herrera and Rafael Herrera},
journal= {arXiv preprint arXiv:0910.5882},
year = {2009}
}
Comments
12 pages, 1 figure