IJPAM: Volume 78, No. 6 (2012)

A GENERALIZED MATSUMOTO SPACE



Banasthali University
Banasthali, Rajasthan, 304022, INDIA
Abstract. One of the most well studied Finsler metrics are the
-metrics. Among them, Randers, Kropina and Matsumoto metrics are well
known brand names in modern Finsler geometry. Recently a lot of work has
been done on the generalized m- Kropina and generalized Matsumoto metrics.
In [#!DH96!#,#!DH97!#,#!IMSH08!#] the -dual of Randers, Kropina and
Matsumoto space were introduced. Recently, in [#!GS11!#], the
-dual
of a generalized m-Kropina space has been introduced. In this paper we study
the
-dual of a generalized Matsumoto space.
Received: January 1, 2012
AMS Subject Classification: 53B40, 53C60
Key Words and Phrases: Finsler space, Cartan space, generalized Matsumoto space, the duality between Finsler and Cartan spaces, Legendre transformation
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 78
Issue: 6