• P-ISSN 0974-6846 E-ISSN 0974-5645

Indian Journal of Science and Technology


Indian Journal of Science and Technology

Year: 2021, Volume: 14, Issue: 4, Pages: 289-296

Original Article

Generalised neo-pseudo projective recurrent Finsler space

Received Date:13 August 2020, Accepted Date:18 January 2021, Published Date:01 February 2021


Objectives: The purpose of this paper is to obtain several results in the field of generalised neo-pseudo projective recurrent Finsler space. Methods: A generalization technique is employed to solve the resulting problem. We provide its application in the study of space-time. Findings: In section 1, we have defined and studied some of the basic and useful results for later work. Section 2 deals for the neo-pseudo projective recurrent curvature tensor. The notion of neo-pseudo projective recurrent space of second order has been delineated in the section 3. In the section 4 we have studied the generalised neo-pseudo projective recurrent space and established several new results. Novelty/Conclusion: In this paper we have studied some recurrent properties of neo-pseudo projective curvature tensor in a Finsler space. We have obtained several new results which are as follows:
• If the space Fn admits a neo-pseudo projective curvature tensor Qa bgd then Qa bgd is skew-symmetric with regard to last two indices.
• If the neo-pseudo projective deviation tensor Qab and pseudo deviation tensor field Tab coincides to each other for q = 1 then space is W-flat.
• If Fn admits the projectively flat Q-recurrent space then the relation
bg +ÑbQa
ge +ÑgQa
eb = 0 holds good.
• If a Finsler space Fn admits projectively flat Q-birecurrent space then the relation KerQa
bg +KbrQa
ge +KgrQa
eb = 0 holds good.
• If the space is Q-birecurrent then the generalised Q-recurrent space is Qsymmetric.
• For the projective flat generalised Q-recurrent space the relation
gd +ÑrÑgQa
de +ÑrÑdQa
eg = 0 holds good.
AMS Subject Classification: 58B20, 53C20, 53C60.


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© 2021 Chauhan et al.This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)


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