On Projectively Flat Finsler Warped Product Metrics of Constant Flag Curvature-Reference-Cited by-同舟云学术

On Projectively Flat Finsler Warped Product Metrics of Constant Flag Curvature

Published:2021-05-24 Issue:11 Volume:31 Page:11471-11492
ISSN:1050-6926
Container-title:The Journal of Geometric Analysis
language:en
Short-container-title:J Geom Anal

Author:

Liu Huaifu,Mo Xiaohuan

Abstract

AbstractIn this paper, we study locally projectively flat Finsler metrics of constant flag curvature. We find equations that characterize these metrics by warped product. Using the obtained equations, we manufacture new locally projectively flat Finsler warped product metrics of vanishing flag curvature. These metrics contain the metric introduced by Berwald and the spherically symmetric metric given by Mo-Zhu.

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology

Link

https://link.springer.com/content/pdf/10.1007/s12220-021-00690-5.pdf

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