IJPAM: Volume 78, No. 6 (2012)
A GENERALIZED MATSUMOTO SPACE
Department of Mathematics and Statistics
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
Download paper from here.
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395