Concircular π-Vector Fields and Special Finsler Spaces

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References

[1] K. Yano, “Sur le Prarallélisme et la Concourance Dans l’Espaces de Riemann,” Proceedings of the Imperial Academy of Japan, Vol. 19, No. 4, 1943, pp. 189-197.
doi:10.3792/pia/1195573583

[2] S. Tachibana, “On Finsler Spaces which Admit a Concurrent Vector Field,” Tensor, N. S., Vol. 1, 1950, pp. 1-5.

[3] M. Matsumoto and K. Eguchi, “Finsler Spaces Admitting a Concurrent Vector Field,” Tensor, N. S., Vol. 28, 1974, pp. 239-249.

[4] N. L. Youssef, S. H. Abed and A. Soleiman, “Concurrent π-Vector Fields and Eneregy β-Change,” International Journal of Geometric Methods in Modern Physics, Vol. 6, No. 6, 2009, pp. 1003-1031.
doi:10.1142/S0219887809003904

[5] T. Adat and T. Miyazawa, “On Riemannian Spaces which Admit a Concircular Vector Field,” Tensor, N. S., Vol. 18, No. 3, 1967, pp. 335-341.

[6] B. N. Prasad, V. P. Singh and Y. P. Singh, “On Concircular Vector Fields in Finsler Spaces,” Indian Journal of Pure and Applied Mathematics, Vol. 17, No. 8, 1986, pp. 998-1007.

[7] N. L. Youssef, S. H. Abed and A. Soleiman, “A Global Approach to the Theory of Special Finsler Manifolds,” Kyoto Journal of Mathematics, Vol. 48, No. 4, 2008, pp. 857-893.

[8] N. L. Youssef, S. H. Abed and A. Soleiman, “A Global Approach to the Theory of Connections in Finsler Geometry,” Tensor, N. S., Vol. 71, No. 3, 2009, pp. 187-208.

[9] N. L. Youssef, S. H. Abed and A. Soleiman, “Cartan and Berwald Connections in the Pullback Formalism,” Algebras, Groups and Geometries, Vol. 25, No. 4, 2008, pp. 363-386.

[10] N. L. Youssef, S. H. Abed and A. Soleiman, “Geometric Objects Associated with the Fundumental Connections in Finsler Geometry,” Journal of the Egyptian Mathematical Society, Vol. 18, No. 1, 2010, pp. 67-90.

[11] F. Brickell, “A New Proof of Deicke’s Theorem on Homogeneous Functions,” Proceedings of the American Mathematical Society, Vol. 16, No. 2, 1965, pp. 190-191.