Special Finsler hypersurfaces admitting a parallel vector field

Pradeep Kumar; S. K. Narasimhamurthy; C. S. Bagewadi; S. T. Aveesh

doi:10.71712/

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Published: 2025-08-08

DOI: https://doi.org/10.71712/

Keywords:

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

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

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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Vol. 20 (2010)

Section

Articles

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Pradeep Kumar, S. K. Narasimhamurthy, & C. S. Bagewadi. (2025). Special Finsler hypersurfaces admitting a parallel vector field (S. T. Aveesh, Trans.). Scientia Series A: Mathematical Sciences, 20, 123-130. https://doi.org/10.71712/