On Unitary Invariant Strongly Pseudoconvex Complex Landsberg Metrics

Authors

  • Yong He School of Mathematical Sciences, Xiamen University, Xiamen 361005, Fujian, P.R. China
  • Chun-Ping Zhong School of Mathematical Sciences, Xiamen University, Xiamen 361005, Fujian, P.R. China

DOI:

https://doi.org/10.4208/jms.v49n1.16.02

Keywords:

Unitary invariant, complex Landsberg metric, complex Finsler metric.

Abstract

In this paper,we prove that a unitary invariant strongly pseudoconvex complex Finsler metric is a complex Landsberg metric if and if only if it comes from a unitary invariant Hermitian metric. This implies that there does not exist unitary invariant complex Landsberg metric unless it comes from a unitary invariant Hermitian metric.

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Published

2018-08-16

Issue

Vol. 49 No. 1 (2016)

Section

Articles