Mathematical Research Letters

Volume 30 (2023)

Number 3

A theorem on Hermitian rank and mapping problems

Pages: 945 – 968

DOI: https://dx.doi.org/10.4310/MRL.2023.v30.n3.a12

Author

Ming Xiao (Department of Mathematics, University of California San Diego, La Jolla, Calif., U.S.A.)

Abstract

In this paper, we first prove a Huang’s lemma type result. Then we discuss its applications in studying rigidity problems of mappings into indefinite hyperbolic spaces and bounded symmetric domains.

Full Text (PDF format)

The author’s work is partially supported by National Science Foundation grant DMS-1800549 and DMS-2045104.

Received 12 April 2021

Received revised 21 August 2021

Accepted 2 September 2021

Published 15 December 2023