Back
 JMP  Vol.4 No.7 , July 2013
Energy β-Conformal Change and Special Finsler Spaces
Amr Soleiman*, Amira A. Ishan
Show more
Abstract: The main aim of the present paper is to establish an intrinsic investigation of the energy β-conformal change of the most important special Finsler spaces, namely, Ch-recurrent, Cv-recurrent, C0-recurrent, Sv-recurrent, quasi-C-reducible, semi-C-reducible, C-reducible, P-reducible, C2-like, S3-like, P2-like and h-isotropic, ···, etc. Necessary and sufficient conditions for such special Finsler manifolds to be invariant under an energy β-conformal change are obtained. It should be pointed out that the present work is formulated in a prospective modern coordinate-free form.
Keywords: Energy β-Conformal Change; Ch-Recurrent; Cv-Recurrent; C0-Recurrent; C2-Like; Quasi-C-Reducible; C-Reducible; Berwald Space; Sv-Recurrent; S3-Like; P2-Like; h-Isotropic
Cite this paper: A. Soleiman and A. Ishan, "Energy β-Conformal Change and Special Finsler Spaces," Journal of Modern Physics, Vol. 4 No. 7, 2013, pp. 983-990. doi: 10.4236/jmp.2013.47132.
References

[1]   T. Mestdag and V. Toth, Report Mathmatics Physics, Vol. 50, 2002, pp. 167-193. doi:10.1016/S0034-4877(02)80053-2

[2]   A. Soleiman, International Journal of Geometric Methods in Modern Physic, Vol. 9, 2012, 21 p.

[3]   H. Akbar-Zadeh, “Initiation to Global Finsler Geometry,” Elsevier, San Diego, 2006.

[4]   P. Dazord, “Propriétés Globales des Géodésiques des Espaces de Finsler,” Thése d’Etat, Publication Department Mathematics Lyon, 1969.

[5]   A. A. Tamim, “General Theory of Finsler Spaces with Applications to Randers Spaces,” Ph.D. Thesis, Cairo University, Cairo, 1991.

[6]   N. L. Youssef, S. H. Abed and A. Soleiman, Balkan Journal of Geometry and Its Applications, Vol. 15, 2010, pp. 138-150.

[7]   N. L. Youssef, S. H. Abed and A. Soleiman, Tensor N. S., Vol. 71, 2009, pp. 187-208.

[8]   N. L. Youssef, S. H. Abed and A. Soleiman, Algebras, Groups and Geometries, Vol. 25, 2008, pp. 363-386.

[9]   F. Brickell, Proceedings of the American Mathematical Society, Vol. 16, 1965, pp. 90-191.

[10]   J. Grifone, Annales de L’Institut Fourier, Grenoble, Vol. 22, 1972, pp. 287-334. doi:10.5802/aif.407

[11]   J. Grifone, Annales de L’Institut Fourier, Grenoble, Vol. 22, 1972, pp. 291-338. doi:10.5802/aif.431

[12]   J. Klein and A. Voutier, Annales de L’Institut Fourier, Grenoble, Vol. 18, 1968, pp. 241-260. doi:10.5802/aif.282

[13]   N. L. Youssef, Tensor, N. S., Vol. 36, 1982, pp. 275-280.

[14]   N. L. Youssef, S. H. Abed and A. Soleiman, Kyoto Journal of Mathematics, Vol. 48, 2008, pp. 857-893.

[15]   N. L. Youssef, S. H. Abed and A. Soleiman, International Journal of Geometric Methods in Modern Physics, Vol. 6, 2009, pp. 1003-1031.

[16]   N. L. Youssef, S. H. Abed and A. Soleiman, Journal of the Egyptian Mathematical Society, Vol. 18, 2010, pp. 67-90.

 
 
Top