On bounded Cartan torsion of special Finsler (α, β)-metrics

Authors

  • A.R. Kavyashree Kuvempu University, India
  • M.Y. Kumbar Kuvempu University, India
  • S.K. Narasimhamurthy Kuvempu University, India

Keywords:

Finsler space, (α, β)-metrics, norm of Cartan, bounded Cartan torsion, mean Cartan torsion

Abstract

In this paper, we proved that some special Finsler (α, β)-metrics have bounded Cartan torsion. Further, we find the relation between the norm of Cartan and the mean Cartan torsion for the class of (α, β)-metrics.

Author Biographies

A.R. Kavyashree, Kuvempu University, India

Department of P.G. Studies and Research in Mathematics, Shankarghatta - 577 451. Shimoga, Karnataka

M.Y. Kumbar, Kuvempu University, India

Department of P.G. Studies and Research in Mathematics, Shankarghatta - 577 451. Shimoga, Karnataka

S.K. Narasimhamurthy, Kuvempu University, India

Department of P.G. Studies and Research in Mathematics, Shankarghatta - 577 451. Shimoga, Karnataka

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Published

2014-06-10

Issue

Vol. 7(56) No. 1 (2014)

Section

MATHEMATICS