On Unitary Invariant Strongly Pseudoconvex Complex Landsberg Metrics
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@Article{JMS-49-13,
author = {He , Yong and Zhong , Chun-Ping},
title = {On Unitary Invariant Strongly Pseudoconvex Complex Landsberg Metrics},
journal = {Journal of Mathematical Study},
year = {2016},
volume = {49},
number = {1},
pages = {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.
}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v49n1.16.02}, url = {http://global-sci.org/intro/article_detail/jms/984.html} }
TY - JOUR
T1 - On Unitary Invariant Strongly Pseudoconvex Complex Landsberg Metrics
AU - He , Yong
AU - Zhong , Chun-Ping
JO - Journal of Mathematical Study
VL - 1
SP - 13
EP - 22
PY - 2016
DA - 2016/03
SN - 49
DO - http://doi.org/10.4208/jms.v49n1.16.02
UR - https://global-sci.org/intro/article_detail/jms/984.html
KW - Unitary invariant, complex Landsberg metric, complex Finsler metric.
AB -
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.
He , Yong and Zhong , Chun-Ping. (2016). On Unitary Invariant Strongly Pseudoconvex Complex Landsberg Metrics.
Journal of Mathematical Study. 49 (1).
13-22.
doi:10.4208/jms.v49n1.16.02
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