On Projective h-Matsumoto Change

Main Article Content

Manish Kumar Gupta
Suman Sharma
Abha Sahu

Abstract

Recently, we have studied the h-Matsumoto change and obtained Cartan connection coefficient for the transformed space1. In this paper, we have derived the necessary and sufficient condition for the hMatsumoto change to be projective and also obtained that there is no non-trivial projective h-Matsumoto change such that the h-vector

Article Details

How to Cite
1.
Gupta MK, Suman Sharma, Abha Sahu. On Projective h-Matsumoto Change. J. Int. Acad. Phys. Sci. [Internet]. 2022 Dec. 15 [cited 2024 May 18];26(4):407-13. Available from: https://www.iaps.org.in/journal/index.php/journaliaps/article/view/859
Section
Articles

References

M. K. Gupta, Abha Sahu, Suman Sharma; Cartan Connection for h-Matsumoto change, ArXiv preprint arXiv:2204.07298, 2022.

A. Rapcsák; Eine neue Charakterisierung Finslerscher Rume Skalarer und konstanter Krmmung und projektiv-ebene Rume, Acta Math. Acad. Sci. Hungar, 8-3 (1957) 1-8.

M. Matsumoto; Theory of Finsler spaces with (α, β)-metric, Reports on Mathematical Physics, 31-1 (1992), 43-83.

H. Park and Y. Lee; Projective changes between a Finsler space with (α, β)-metric and the associated Riemannian space, Tensor NS, 60-3 (1999), 327-331.

S. Bácsό; Projective changes between Finsler spaces with (α,β)-metric, Tensor, N.S., 55 (1994), 252-257.

B. Tiwari, Manoj kumar, Ghanshyam prajapati; On the projective change between two special Finsler spaces of (α, β)-metrics, An. Stiint. Univ. Al. I. Cuza Iasi. Mat.(NS), 62 (2016), 891-900.

M. K.Gupta and P. N. Pandey; Finsler space subjected to a Kropina change with an h-vector, Facta universitatis-series: Mathematics and Informatics, 30-4 (2015), 513-525.

M. K.Gupta and P. N. Pandey; On hypersurface of a Finsler space with a special metric, Acta Mathematica Hungarica, 120 (2008), 165-177.

H. Izumi; Conformal transformations of Finsler spaces II; Tensor, N.S., 33 (1980) 337-359.

M. Matsumoto; Foundations of Finsler geometry and special Finsler spaces, Kaiseisha Press, Shigaken, 1986.

M. Matsumoto; Projective changes of Finsler metrics and projectively flat Finsler spaces, Tensor, NS, 34 (1980) 303-315.

M. K. Gupta and A. K. Gupta; Hypersurface of a Finsler space subjected to an h-exponential change of metric, International Journal of Geometric Methods in Modern Physics, 13-10 (2016) 1650129.