The Journal of the Indian Mathematical Society

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On Hypersurfaces of a Special Semi-C-Reducible Finsler Space


Affiliations
1 DST-CIMS, Faculty of Science, Banaras Hindu University Varanasi, 221 005, India
     

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The purpose of the present paper is to study hypersurfaces of a Special semi-C-reducible Finsler space. It is found that, if the torsion vector of enveloping space Fn is tangential to its hypersurface Hn−1 and n > 3, then the hypersurface is also a Special semi-C-reducible Finsler space. Finally surfaces in a three dimensional Special semi-C-reducible Finsler space have been studied. The notations and terminologies are referred to the monograph [8].

Keywords

Finsler Space, Hypersurface of a Finsler Space, Semi-C-Reducible Finsler Space.
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  • On Hypersurfaces of a Special Semi-C-Reducible Finsler Space

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Authors

Bankteshwar Tiwari
DST-CIMS, Faculty of Science, Banaras Hindu University Varanasi, 221 005, India

Abstract


The purpose of the present paper is to study hypersurfaces of a Special semi-C-reducible Finsler space. It is found that, if the torsion vector of enveloping space Fn is tangential to its hypersurface Hn−1 and n > 3, then the hypersurface is also a Special semi-C-reducible Finsler space. Finally surfaces in a three dimensional Special semi-C-reducible Finsler space have been studied. The notations and terminologies are referred to the monograph [8].

Keywords


Finsler Space, Hypersurface of a Finsler Space, Semi-C-Reducible Finsler Space.