A NEW CLASS OF FINSLER METRICS

Authors

  • T. Rajabi Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran Author
  • N. Sadeghzadeh Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran Author

Keywords:

Finsler geometry, $(F, \beta)$-metric, $h$-vector, projective change, Douglas space

Subjects:

53B40, 53C60

Abstract

In this paper, we construct a new class of Finsler metrics which are not always $(\alpha, \beta)$-metrics.We obtain the spray coefficients and Cartan connection of these metrics. We have also found a necessary and sufficient condition for them to be projective.Finally, under some suitable conditions, we obtain many new Douglas metrics from the given one.

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Published

2021-01-15

Issue

Vol. 73 No. 1 (2021): Vol. 73, Issue 1

Section

Articles

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Copyright (c) 2021 Authors retain copyright to their work.

Creative Commons License

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