Hypersurface of a Generalized Matsumoto Space
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Abstract
In 1985 Matsumoto discussed the properties of special hypersurface of Randers space with bi (x) being gradient of a scalar
function b(x) . He has considered a hypersurface which is given by b(x) = constant. In 2001, Singh and Kumari have considered the
hypersurface of Matsumoto space with the same equation b(x) = constant. In this paper we have considered the hypersurface of generalized Matsumoto space given by b(x) = constant. The conditions under which this hypersurface is a hyperplane of the first or second kind have been obtained. This hypersurface is not a hyperplane of third kind
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1.
B. N. Prasad, H. S. Shukla, A. P. Tiwari. Hypersurface of a Generalized Matsumoto Space. J. Int. Acad. Phys. Sci. [Internet]. 2009 Mar. 15 [cited 2025 May 5];13(1):25-38. Available from: https://www.iaps.org.in/journal/index.php/journaliaps/article/view/151
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