Year: 2016
Author: Yong He, Chun-Ping Zhong
Journal of Mathematical Study, Vol. 49 (2016), Iss. 1 : pp. 13–22
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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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v49n1.16.02
Journal of Mathematical Study, Vol. 49 (2016), Iss. 1 : pp. 13–22
Published online: 2016-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Unitary invariant complex Landsberg metric complex Finsler metric.