IJPAM: Volume 113, No. 3 (2017)

Title

ON SPECIAL CONCIRCULAR $R$-LIE-RECURRENCE
IN SPECIAL FINSLER SPACES

Authors

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

Abstract

In this paper we discuss a special concircular $R$-Lie-recurrence in special Finsler spaces such as $R$-recurrent, $R$-symmetric, $R$-birecurrent and $R$-bisymmetric. Apart from other theorems, it is being proved that an $R$-recurrent Finsler space can not admit a special concircular $R$-Lie-recurrence while a non-flat $R$-symmetric Finsler space $F_n(n>2)$ admitting a special concircular $R$-Lie-recurrence is necessarily of constant Riemannian curvature.

History

Received: October 13, 2016
Revised: December 21, 2016
Published: March 28, 2017

AMS Classification, Key Words

AMS Subject Classification: 53B40.
Key Words and Phrases: Finsler space, $R$-Lie-recurrence, Riemannian curvature, special concircular vector field, R-recurrent Finsler space.

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How to Cite?

DOI: 10.12732/ijpam.v113i3.4 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 113
Issue: 3
Pages: 415 - 423


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