ON WEAKLY STRETCH RANDERS METRICS

Authors

  • A. Tayebi Department of Mathematics, University of Hormozgan, Bandar-Abbas, Iran Author
  • A. Ghasemi Department of Mathematics, University of Hormozgan, Bandar-Abbas, Iran Author
  • M. Sabzevari Department of Mathematics, University of Hormozgan, Bandar-Abbas, Iran Author

Keywords:

Weakly stretch metric, Berwald metric, Randers metric

Subjects:

53B40, 53C60

Abstract

The class of weakly stretch Finsler metrics contains the class of stretch metric. Randers metrics are important Finsler metrics which are defined as the sum of a Riemann metric and a 1-form. In this paper, we prove that every Randers metric with closed and conformal one-form is a weakly stretch metric if and only if it is a Berwald metric.

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Published

2021-07-15

Issue

Vol. 73 No. 3 (2021): Vol. 73, Issue 3

Section

Articles

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This work is licensed under a Creative Commons Attribution 4.0 International License.