A note on neo-curvature tensor filed in recurrent finsler manifolds

Author & Affiliation:
Sandeep K. Bahuguna (sandeep_2297@rediffmail,com)
Department of Mathematics, H,N,B, Garhwal University, Campus Badsahi Thaul, Tehri Garhwal - 249 199 (Uttarakhand) INDIA)
Kailash C. Petwal (keptwal@gmail.com)
Department of Mathematics, H,N,B, Garhwal University, Campus Badsahi Thaul, Tehri Garhwal - 249 199 (Uttarakhand) INDIA)
Keyword:
Finsler,, Neo-curvature, recurrence tensor, domain, Riemann
Issue Date:
August 2009
Abstract:

Takano14 has studied the decomposition of the curvature tensor field in a recurrent Riemannian space and various significant outcomes of such decomposition in recurrent Riemannian space have been drawn. The innovations of Neo-curvature tensor field in Finsler subspaces have been initiated by Chandra4. Moreover, he has defined and studied "Neo-covariant derivatives and its applications" and several interesting theorems concerning to this delighting research article have been derived. Singh11 has defined and studied decomposition of Neo-curvature tensor filed of first order and has discussed various properties of such decomposition.

The present paper is intended to study "A note on decomposition of Neo-curvature tensor filed in recurrent Finsler manifolds", wherein the decomposition of Neo-curvature tensor field will be the composition of one vector and one tensor fields. Also, some theorems on such decomposition will be investigated.

 

Pages:
495-502
ISSN:
2319-8044 (Online) - 2231-346X (Print)
Source:
DOI:
jusps-A
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Copy the following to cite this article:

S. K. Bahuguna; K. C. Petwal, "A note on neo-curvature tensor filed in recurrent finsler manifolds", Journal of Ultra Scientist of Physical Sciences, Volume 21, Issue 2, Page Number 495-502, 2018

Copy the following to cite this URL:

S. K. Bahuguna; K. C. Petwal, "A note on neo-curvature tensor filed in recurrent finsler manifolds", Journal of Ultra Scientist of Physical Sciences, Volume 21, Issue 2, Page Number 495-502, 2018

Available from: https://www.ultrascientist.org/paper/1216/

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