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 - <p style="text-align: justify;">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.</p>