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Finsler Warped Product Metrics with Relatively Isotropic Landsberg Curvature

Part of: Global differential geometry Lie groups

Published online by Cambridge University Press:  12 May 2020

Zhao Yang  and
Xiaoling Zhang
Zhao Yang
Affiliation:
College of Mathematics and Systems Science, Xinjiang University, Urumqi, Xinjiang Province, 830046, China e-mail: yangzhao99000@163.com
Xiaoling Zhang*
Affiliation:
College of Mathematics and Systems Science, Xinjiang University, Urumqi, Xinjiang Province, 830046, China e-mail: yangzhao99000@163.com
*
e-mail: xlzhang@ymail.com
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Abstract

In this paper, we study Finsler warped product metrics with relatively isotropic Landsberg curvature. We obtain the differential equations that characterize such metrics. Then we give some examples.

Keywords

Finsler warped product metricsrelatively isotropic Landsberg curvatureLandsberg curvature

MSC classification

Primary: 22E46: Semisimple Lie groups and their representations
Secondary: 53C30: Homogeneous manifolds
Type
Article
Information
Canadian Mathematical Bulletin , Volume 64 , Issue 1 , March 2021 , pp. 182 - 191
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Copyright
© Canadian Mathematical Society 2020

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Footnotes

This work was supported by National Natural Science Foundation of China (No.11961061, 11461064,11761069).

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