Work

A rigidity theorem for holomorphic disks in Teichmüller space

Year: 2013

Type: preprint

Abstract: In this paper, we discuss a rigidity property for holomorphic disks in Teichmüller 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 $C^{2}$-boundaries, but the rigidity property does not hold for product manifolds.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1312.7189

Author: Miyachi, Hideki

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Japan Society for the Promotion of Science

Award: Research on the complex structure on Teichmuller space and the deformation space of Kleinian groups

OpenAlex ID: W2950749391

Cites: 10

Cited by:

Related to: 20