LIFTING AND PROJECTING BETWEEN RANDERS AND RIEMANNIAN SPACES

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A. A. TAMIM

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LIFTING AND PROJECTING BETWEEN RANDERS AND RIEMANNIAN SPACES




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TAMIM, A. A. (1992). LIFTING AND PROJECTING BETWEEN RANDERS AND RIEMANNIAN SPACES. Tamkang Journal of Mathematics, 23(1), 33–50. https://doi.org/10.5556/j.tkjm.23.1992.4525
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References

E. Cartan, Lecons sur les invariants integraux, Paris, Hermann 1922.

B. T. Hassan &: A. A. Tamim, "On a Finsler space with generalized Randers metric", Colloq. Math. Soc. janos bolyai, 31 Diff. geometry, Budapest (Hungary), 1979.

J. Klein, "Espaces variationnels et Mecanique", Ann. Inst. Fourier Grenoble, 12 (1962).

A. Lichnerowicz, "Theories relativistcs de la gravitation et de l electromagnetisme", Mas­san 1955.

M. Matsumoto, "On Finsler spaces with Randers metric and special forms of important tensors", J. Math. Kyoto Univ., 14, 477-498, (1974).

J. Milnor, Morse theory, Princeton, New jersey, Princeton Univ. Press, 1963.

K. Mok, "Infinitesimal automorphisms on the tangent bundle", J. Math. Kyoto Univ, 17-2, 399-412, (1977).

G. Randers, "On the asymmetrical metric in the four-space of general relativity," Phys. Rev., (2) 59, 195-199, (1941)

C. Shibata, H. Shimada, M. Azuma and H. Yasuda, "On Finsler space with Randers metric," Tensor N.S. Vol. 31 (1977).

K. Yano aud S. Kobayashi, "Prolongations of tensor fields and connections to tangent bundles I & II," J. Math. Soc. Japan, 18 l94-210 ,& 236-246, (1966).

K. Yano and S. Ishihara, Tangent and cotangent bundles, Marcel Dekker, New-York, 1973.