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

Volume 21, Issue 1, pp 23--30
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 $\tilde{c}$.

### Share and Cite

##### ISRP Style

N. Natesh, S. K. Narasimhamurthy, M. K. Roopa, Conformally transformed vector fields on special $(\alpha, \beta)$-metric, Journal of Mathematics and Computer Science, 21 (2020), no. 1, 23--30

##### AMA Style

Natesh N., Narasimhamurthy S. K., Roopa M. K., Conformally transformed vector fields on special $(\alpha, \beta)$-metric. J Math Comput SCI-JM. (2020); 21(1):23--30

##### Chicago/Turabian Style

Natesh, N., Narasimhamurthy, S. K., Roopa, M. K.. "Conformally transformed vector fields on special $(\alpha, \beta)$-metric." Journal of Mathematics and Computer Science, 21, no. 1 (2020): 23--30

### Keywords

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

•  53B40
•  53C60

### References

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