IJPAM: Volume 92, No. 3 (2014)


Vaishali Pandey$^1$, P.N. Pandey$^2$
$^{1,2}$Department of Mathematics
University of Allahabad
Allahabad, 211002, INDIA

Abstract. The concept of Lie-recurrence in a Finsler space was introduced by the second author [8] of the present paper in 1982.The Lie-recurrence in a Riemannian space was studied by K. L. Duggal [3] in 1992 but he used the term curvature inheriting symmetry in place of Lie-recurrence. K. L. Duggal also applied the theory to the study of fluid space time. Since then both the terms (Lie-recurrence and curvature inheriting symmetry) are in use. The present authors [11], Shivalika Saxena and P. N. Pandey [12], [13], C. K. Mishra and Gautam Lodhi [1] studied a Lie-recurrence (curvature inheriting symmetry) in a Finsler space and discussed the possibilities for contra and concurrent vector fields to generate Lie-recurrence. The present paper deals with a Lie-recurrence generated by a special concircular vector field and such Lie-recurrence is termed as a special concircular Lie-recurrence. We obtain certain results related to a special concircular Lie-recurrence in a general Finsler space as well as in birecurrent and bisymmetric Finsler spaces.

Received: October 8, 2013

AMS Subject Classification: 53B40

Key Words and Phrases: Finsler spaces, special concircular vector field, Lie-recurrence, curvature inheritance, birecurrent Finsler space, bisymmetric Finsler space

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DOI: 10.12732/ijpam.v92i3.4 How to cite this paper?

International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 92
Issue: 3
Pages: 359 - 367

CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).