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On a Generalization of Landsberg Space

Author Affiliations

  • 1Department of Mathematics, Islamic Azad University, Babol Branch, IRAN

Res. J. Recent Sci., Volume 2, Issue (8), Pages 63-65, August,2 (2013)

Abstract

In this present work, a special tensor Vijk = λLijk+aihjk+ajhik+akhij is introduced and some properties of Finsler space admitting the so-called tensor is studied.

References

  1. Bacso S. and Papp I., -Finsler spaces with vanishing Douglas tensor, Acta Academiae Paedagogicae Agriensis Mathematicae, 25, 91-95 (1998)
  2. Izumi H., On -Finsler spaces, I-Memoirs of the Defence Academy Japan, XVI(4), 133-138 (1976)
  3. Izumi H., On P-Finsler spaces, II-Memoirs of the Defence Academy Japan, XVII(1), 1-9 (1977)
  4. Matsumoto M., Projective Randers change of P-reducible Finsler space, Tensor N.S.,59, 6-11 (1998)
  5. Matsumoto M., On C-reducible Finsler space, Tensor N.S.,24, 29-37 (1972)
  6. Matsumoto M. and Shimada M., On Finsler spaces with the curvature tensors hijk and hijk Satisfying the special conditions, Rep. Math. Phy., 12, 77-87 (1977)
  7. Wagner V.V., A generalization non holonomic manifolds in Finlerian space, Abh. Tscherny, State Univ. Saratow. 1(14)2, 67-96 (1938)
  8. Berwald L., ber parallelbertragung in Ruman mit allgemeier Massbstimmung, Deutsch. Math. Verein., 34, 213-220 (1926)
  9. Rund H., Differential geometry of Finsler spaces, Springer Verlag(1959)
  10. Prasad B.N., Finsler spaces with the torsion tensor ijk of a pecial form, Indian J. Pure and Appl. Math., 11, 1572-1579 (1980)
  11. Peyghan E., Tayebi A. and Heydari A., Generalized Preducible Finsler Metric, Bul. Ir. Math. Soc.,XX(X) 1-12 (2012)
  12. Matsumoto M., Foundation of Finsler geometry and special Finsler spaces, Keiseisha press, Saikawa, Otsu, Japan (1986)
  13. Shen Z., Differential Geometry of spray and Finsler spaces, Kluwer, Academic (2001)