Some Generalised Connections in Finsler Space

Authors

  • Sanjay K. Pandey   Department of Mathematics, Shri L. B. S. Degree College, Gonda, Uttar Pradesh, India

Keywords:

Finsler Connection, Cartan Connection, Berwald Connection

Abstract

In the present paper we discuss some generalized Cartan connection  and Berwald connection with torsion  which are defined as a Finsler connection satisfying the properties of Cartan connection  and Berwald connection  respectively. Both  and  exists for (h) h-torsion  and (v) hv-torsion . We have also found few results in the case of Berwald connection with torsion .

References

  1. Wagner, V., On generalized spaces, C. R. (Doklady) Acad. Sci. URSS (N. S.) 39, (1943)
  2. Hashiguchi, M. and Y. Ichijyo, On generalized Berwald spaces, Rep. Fac. Sci. Kagoshima Univ. (Math. Phys. Chem.) 15, 19-32, (1982).
  3. Hashiguchi, M., On wagner's generalized Berwald space, J. Korean Math. Sci. 12, 51-61, (1975).
  4. Matsumoto, M., Berwald connections with (h)h-torsion and generalized Berwald spaces, Tensor, N. S. 35, 223-229, (1981).
  5. Matsumoto, M., The induced and intrinsic Finsler connections of a hypersurface and Finslerian projective geometry, to appear in J. Math. Kyoto Univ, 107-144, 25 (1985).
  6. M. KITAYAMA and S. KIKUCHI,. On metrical Finsler connections with torsion T_jk^i of generalized Finsler spaces ANALELE STIINTIFICE ALE UNIVERSITATII “AL.I.CUZA” IASI Tomul XLV, s.I a, Matematica, f.2, (1999).
  7. Okada, T., Minkowskian product of Finsler spaces and Berwald connection, J. Math. Kyoto Univ. 22, 323-332, (1982).
  8. Matsumoto, M., Foundations of Finsler geometry and special Finsler spaces, 373 pp, (1977).
  9. T. Aikou t. and M. Hashiguchi, On Generalized Berwald Connections, Rep. Fac. Sci., Kagoshima Univ., (Math., Phys. & Chem.) No 17, p.9-13, (1984).
  10. Miron, R. and M. Hashiguchi, Metrical Finsler connections, Rep. Fac. Sci. Kagoshima Univ. (Math. Phys. Chem.) 12, 21-35, (1979).

Downloads

Published

2019-01-30

Issue

Section

Research Articles

How to Cite

[1]
Sanjay K. Pandey , " Some Generalised Connections in Finsler Space , International Journal of Scientific Research in Science, Engineering and Technology(IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 6, Issue 1, pp.582-585, January-February-2019.