A rigidity theorem for holomorphic disks in Teichm\"uller space
Complex Variables
2014-02-25 v5 Geometric Topology
Abstract
In this paper, we discuss a rigidity property for holomorphic disks in Teichm\"uller space. In fact, we give a refinement of Tanigawa's rigidity theorem. We will also treat the rigidity property of holomorphic disks for complex manifolds. We observe the rigidity property is valid for bounded strictly pseudoconvex domains with -boundaries, but the rigidity property does not hold for product manifolds.
Cite
@article{arxiv.1312.7189,
title = {A rigidity theorem for holomorphic disks in Teichm\"uller space},
author = {Hideki Miyachi},
journal= {arXiv preprint arXiv:1312.7189},
year = {2014}
}
Comments
This paper is accepted to Proceedings AMS