On Some Special Finsler Spaces

Authors

  • Ankit Maurya  Research Scholar in Mathematics, Singhania University, Pacheri Bari (Jhunjhunu), Rajasthan, India
  • K.B. Gupta  Department of Mathematics, St. Andrew’s P.G. College, Gorakhpur, Uttar Pradesh, India
  • Jitendra Singh  Department of Physics, Sri. Lal Bahadur Shastri Degree College, Gonda, Uttar Pradesh, India

DOI:

https://doi.org/10.32628/IJSRST207524

Keywords:

Recurrent Finsler space, Bianchi’s identity, non-symmetric, Landsberg space, semi-P2- like, P* - Finsler space, P_? – Finsler space, P- symmetric.

Abstract

The present communication has mainly been divided into four sections of which the first section is introductory, the second section deals with R - recurrent   of order one. In this section we have derived results telling as to when a  -  recurrent  of order one will be R  -  recurrent of order one,  -  recurrent  of order one will be a  -  recurrent of order one. In this section we have also derived the Bianchi’s identity and few more identities which hold in a R - recurrent   of order one. The third section deals with R - recurrent   of order two. In this section we have observed that the recurrence tensor field  is non-symmetric, few more relations and the Bianchi’s identity have been derived in a R - recurrent   of order two. In the fourth and the last section we have derived the conditions under which a Landsberg space in a - Finsler space, a  - Finsler space is semi - P2- like, a - Finsler space is a - Finsler space, a  – Finsler space is  P- symmetric, a  - Finsler space is P2 like

References

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International Journal of Scientific Research in Science and Technology

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Published

2020-10-30

Issue

Volume 7, Issue 5, September-October-2020

Section

Research Articles

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How to Cite

[1]
Ankit Maurya, K.B. Gupta, Jitendra Singh "On Some Special Finsler Spaces" International Journal of Scientific Research in Science and Technology(IJSRST), Online ISSN : 2395-602X, Print ISSN : 2395-6011,Volume 7, Issue 5, pp.76-87, September-October-2020. Available at doi : https://doi.org/10.32628/IJSRST207524