On a five dimensional Berwald space with vanishing certain h− connection vectors

Document Type : Original Article

Authors

Department of Mathematics K.S.Saket P.G.College Ayodhya- 224123, India.

Abstract

M. Matsumoto and R. Miron constructed an orthonormal frame for an n-dimensional Finsler space and the frame was called Miron frame .T.N. Pandey and D. K. Diwedi and P. N. Pandey and Manish Gupta studied four- dimensional Finsler spaces in terms of scalars.P. N. Pandey and Manish Gupta also studied four-dimensional Berwald Space with Vanishing h- connection vector ki.Gauree Shankar, G.C.Chaubey and Vinay Pandey studied the main scalar of a Five Dimensional Finsler space.In the present paper, we study a Five dimensional Berwald space with vanishing h connection vectors.

Keywords


  • 1. M. Matsumoto, Foundations of Finsler geometry and special Finsler spaces, Kaiseisha
    Press, Saikawa, Otsu 520, Japan, (1986).
  • 2. M. Matsumoto and R. Miron, On an invariant theory of the Finsler spaces, Period.
    Math. Hunger, 8(1977), 73-82 .
  • 3. T. N. Pandey and D. K. Diwedi, A theory of four- dimensional Finsler spaces in terms
    of scalars, J. Nat. Acad. Math., 11(2007), 176- 190.
  • 4. P. N. pandey and Manish Kumar Gupta,On certain Finsler spaces of dimension four,J.
    Internat. Acad. Phy. Sci.,8(2004), 17-23 .
  • 5. P. N. pandey and Manish Kumar Gupta,On a four - dimensional Berwald space with
    vanishing h - connection vector ki , Tamkang J. Math., 39 (2008),121 - 130 .
  • 6. Gauree shanker , G. C. Chaubey and Vinay Pandey,On the main scalars of a five -
    dimensional Finsler space , International Electronic J. Pure and Applied Math., 5 (2012),
    69 - 78 .