Vol. 20 (2010)
Articles

Special Finsler hypersurfaces admitting a parallel vector field

Pradeep Kumar
Department of Mathematics, Yagachi Institute of Technology, Post Box No. 55, Hassan - 573 201, Karnataka, INDIA.
S. K. Narasimhamurthy
Department of Mathematics, Kuvempu University, Shankaraghatta - 577 451, Shimoga , Karnataka, INDIA.
C. S. Bagewadi
Department of Mathematics, Kuvempu University, Shankaraghatta - 577 451, Shimoga , Karnataka, INDIA.
S. T. Aveesh
Department of Mathematics, Alva’s Institute of Engineering and Technology, Moodbidri - 574 225, Karnataka, INDIA

Published 2010-08-11

Keywords

  • Hypersurfaces,
  • Finsler Spaces,
  • C-reducible,
  • Semi-C-reducible,
  • C2-like,
  • Riemannian,
  • P-reducible.
  • ...More
    Less

How to Cite

Special Finsler hypersurfaces admitting a parallel vector field. (2010). Scientia Series A: Mathematical Sciences, 20, 123-130. https://revistas.usm.cl/scientia/article/view/157

Abstract

The study of special Finsler spaces has been introduced by M. Matsumoto. The purpose of the present paper is to study hypersurfaces of special Finsler spaces like quasi-C-reducible, C-reducible, Semi-C-reducible, P2-like, Preducible, S3-like, C2-like and T-condition, which are admitting a parallel vector field \(X^{\alpha} = X^{i}B_{i}^{\alpha}\) is defined on \(F^{n-1}.\)

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