SPECIAL NORMAL AND NEO-NORMAL PROJECTIVE RECURRENT, BI-RECURRENT, FINSLER SPACES ADMITTING AFFINE MOTION


By

Praveen Kumar Mathur1 and Pravin Kumar Srivastava2

1Department of Mathematics, B. N. College of Engineering Technology, Lucknow-226201, Uttar Pradesh, India

2Department of Applied Science and Humanities, Bundelkhand Institute of Engineering and Technology Jhansi-284128, Uttar Pradesh, India Email:drpraveenmathur8@gmail.com, drpravinsrivastava@yahoo.co.in

(Received : February 24,2021; Revised : October 22, 2021; Accepted : April 15, 2022)


Abstract

This paper deals with the study of the recurrent and bi-recurrent, Neo-normal / normal and special normal projective Finsler spaces admitting an affine motion. The relation between two Ricci tensors has been established in a normal projective Finsler space and in a special normal projective Finsler space, the recurrence tensor of a birecurrent vector field generating an affine motion can not be independent of the directional arguments and is always non-symmetric. Also, some special types of affine motion generated by a vector field whose covariant derivative is recurrent have been discussed in this paper.


2020 Mathematical Sciences Classification: 53B40, 53C60.

Keywords and Phrases: Finsler spaces, Neo-normal, Recurrent, Bi-current, Affine motion.



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