Tbilisi Mathematical Journal

On a special hypersurface of a Finsler space with $(\alpha,\beta)$-metric

Pradeep Kumar, S. K. Narasimhamurthy, H. G. Nagaraja, and S. T. Aveesh

Full-text: Open access

Abstract

The purpose of the present paper is to consider a special hypersurface of a Finsler space with $(\alpha,\beta)$-metric $\alpha+\sqrt{\alpha^2+\beta^2}$. We prove conditions for the special Finsler hypersurface to be a hyperplane of first, second and third kind.

Article information

Source
Tbilisi Math. J., Volume 2 (2009), 51-60.

Dates
Received: 20 April 2009
Revised: 30 September 2009
Accepted: 26 October 2009
First available in Project Euclid: 12 June 2018

Permanent link to this document
https://projecteuclid.org/euclid.tbilisi/1528768841

Mathematical Reviews number (MathSciNet)
MR2574872

Zentralblatt MATH identifier
1196.53019

Subjects
Primary: 53B40: Finsler spaces and generalizations (areal metrics)
Secondary: 53C60: Finsler spaces and generalizations (areal metrics) [See also 58B20]

Keywords
Special Finsler hypersurface $(\alpha,\beta)$-metric normal curvature vector second fundamental tensor hyperplane of first second and third kind

Citation

Kumar, Pradeep; Narasimhamurthy, S. K.; Nagaraja, H. G.; Aveesh, S. T. On a special hypersurface of a Finsler space with $(\alpha,\beta)$-metric. Tbilisi Math. J. 2 (2009), 51--60. https://projecteuclid.org/euclid.tbilisi/1528768841


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