Conformally transformed vector fields on special \((\alpha, \beta)\)-metric

Volume 21, Issue 1, pp 23--30 http://dx.doi.org/10.22436/jmcs.021.01.03

Publication Date: March 18, 2020 Submission Date: July 17, 2019 Revision Date: August 06, 2019 Accteptance Date: August 21, 2019

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Authors

N. Natesh - Department of Mathematics, Kuvempu University, Shankaraghatta--577 451, Shimoga, Karnataka, India. S. K. Narasimhamurthy - Department of Mathematics, Kuvempu University, Shankaraghatta--577 451, Shimoga, Karnataka, India. M. K. Roopa - Department of Mathematics, Kuvempu University, Shankaraghatta--577 451, Shimoga, Karnataka, India.

Abstract

In this paper, we characterize the PDE's of conformal vector fields on Finsler space with special \((\alpha, \beta)\)-metrics. Further, we prove that conformally transformed vector field related by \(F\) and also corresponding conformal factors \(c\) and \(\tilde{c}\).

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Keywords

• Conformal vector field
• special \((\alpha, \beta)\)-metrics

MSC

•  53B40
•  53C60

References

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