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http://dx.doi.org/10.5666/KMJ.2018.58.4.781

Finslerian Hypersurface and Generalized β-Conformal Change of Finsler Metric

Tiwari, Shiv Kumar (Department of Mathematics, K. S. Saket Post Graduate College)
Rai, Anamika (Department of Mathematics, K. S. Saket Post Graduate College)

Publication Information

Kyungpook Mathematical Journal / v.58, no.4, 2018 , pp. 781-788 More about this Journal

Abstract

In the present paper, we have studied the Finslerian hypersurfaces and generalized ${\beta}$ -conformal change of Finsler metric. The relations between the Finslerian hypersurface and the other which is Finslerian hypersurface given by generalized ${\beta}$ -conformal change have been obtained. We have also proved that generalized ${\beta}$ -conformal change makes three types of hypersurfaces invariant under certain conditions.

Keywords

generalized ${\beta}$ -conformal change; generalized ${\beta}$ -change; ${\beta}$ -change; conformal change; Finslerian hypersurfaces; hyperplane of first; second and third kinds;

Citations & Related Records

Reference

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