Volume 49, Issue 1
On Unitary Invariant Strongly Pseudoconvex Complex Landsberg Metrics

Yong He & Chun-Ping Zhong

J. Math. Study, 49 (2016), pp. 13-22.

Published online: 2016-03

Preview Full PDF 378 1518
Export citation
  • 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.

  • Keywords

Unitary invariant complex Landsberg metric complex Finsler metric

  • AMS Subject Headings

53C60 53C40

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

heyong@xjnu.edu.cn (Yong He)

zcp@xmu.edu.cn (Chun-Ping Zhong)

  • BibTex
  • RIS
  • TXT
@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://dor.org/10.4208/jms.v49n1.16.02 UR - https://global-sci.org/intro/article_detail/jms/984.html KW - Unitary invariant KW - complex Landsberg metric KW - 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.
Yong He & Chun-Ping Zhong. (2019). On Unitary Invariant Strongly Pseudoconvex Complex Landsberg Metrics. Journal of Mathematical Study. 49 (1). 13-22. doi:10.4208/jms.v49n1.16.02
Copy to clipboard
The citation has been copied to your clipboard