On projectively related spherically symmetric metrics in Finsler geometry

Document Type : Original Article

Authors

1 Faculty of Science, Department of Mathematics University of Qom, Qom, Iran E-mail: sadeghihassan64@gmail.com

2 Faculty of Science, Department of Mathematics University of Qom, Qom, Iran. Email: E-mail: moradbahadori3@gmail.com

Abstract

Inspired by the notion of projectively related spherically symmetric metrics, we study the class of Finsler metrics whose geodesics have the same shape with a difference in rotation or reflection of their graphs. This class of metrics contains the class of projectively related Finsler metrics. First, we characterize the class of Randers metrics, ( α, β )-metrics and spherically symmetric metrics in this class of metrics

Keywords

References

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Journal of Finsler Geometry and its Applications
Volume 1, Issue 2
December 2020
Pages 39-53

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