On Certain Types of Affine Motion

Authors

  • Fahmi Y. A. Qasem Department of Mathematics , Faculty of Education-Aden, University of Aden, Khormaksar , Aden, Yemen
  • Abdalstar A. M. Saleem Department of Mathematics , Faculty of Education-Yafea, University of Aden

Keywords:

Finsler space, affine motion, projective motion, hv-curvature tensor U_jkh^i, U- recurrent space, U- birecurrent space, projective recurrent space.

Abstract

In the present paper, the affine motion and the projective motion generated by recurrent in a general Finsler space

References

Kumar, A.'' Some Theorems on Affine Motion in a Recurrent Finsler Space''. IV, Indian J. Pure Appl. Math., 8, (1977), pp672-684.

Kumar, A.'' On the Existence of Affine Motion in a Recurrent Finsler Space''. Indian J. Pure Appl. Math., 8, (1977), pp791-800.

Kumar, A.'' On Some Type of Affine Motion in Birecurrent Finsler Space''. II, Indian J. Pure Appl. Math., 8, (1977), pp505-513.

Kumar, A., Shulka H. S. and Tripathi R. P'' On the Existence of Projective Affine Motion in a W-Recurrent Finsler Space''.Tamkang J. of Math., Vol. 31, No. 1, Spring 2000.

Meher, F. M.'' An SHR-F_n Admitting an Affine Motion II''. Tensor N. S., 23, 1973,pp 208-210.

Misra, R. B.'' A Turning Point in the Theory of Recurrent Finsler Manifolds''.J. South Gujrat Univ., 6, (1977), pp72-96.

Pandey, P.N.'' Some Problems in Finsler Spaces''. D. Sc. Thesis, University of Allahabad, India, 1993.

Pandey, P.N. and Dwivedi, V.J.''Projective Motion in an NPR-Finsler Spaces''. Tamkang J. Math., 17 (1), 1986,pp 87-98.

Pandey, P.N., Qasem, F.Y.A. and Suinta Pal''Certain Types of Affine Motion''.Proceeding of the third Conference of International Academy of Physical Sciences, The Indian Press Pvt. Ltd., Allahabad Indian, 2000, pp249-264.

Qasem, F.Y.A.'' On Transformation in Finsler Spaces''.D.Phil. Thesis, University of Allahabad, India, 2000.

Qasem, F.Y.A. and Saleem, A.A.M.: On U-Birecurrent Finsler Spaces, Univ. Aden J. Nat. and Appl. Sc., Vol. 14, 2010, pp587-596.

Rund, H. The differential geometry of Finsler spaces, Springer-verlag, Berlin G

Singh, S. P.'' On Projective Motion in Finsler Space''. Prog. of Math., 36, 2002, pp151-158.

Singh, S. P.'' Projective Motion in Birecurrent Finsler Space''. Differential Geometry- Dyhamical Systems, Vol. 12, 2010,pp 221-227.

Takano, K. and Imai, T.'' On Some Types of Affine Motion in Birecurrent Space'. Tensor N.S., 23, 1972, pp309-313.

Yano, K.''The Theory of Lie-Derivatives and its Applications''. North

Downloads

Published

2016-05-11

How to Cite

Y. A. Qasem, F., & A. M. Saleem, A. (2016). On Certain Types of Affine Motion. International Journal of Sciences: Basic and Applied Research (IJSBAR), 27(1), 95–114. Retrieved from https://www.gssrr.org/index.php/JournalOfBasicAndApplied/article/view/5524

Issue

Section

Articles