THEORY OF FINSLER SUBMANIFOLDS VIA BERWALD CONNECTION

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  • [1] Akbar–Zadeh, H., Sur les sous-variétés des variétés finsleriennes, C.R. Acad. Sci. Paris, 266(1968), 146–148.
  • [2] Bao, D., Chern, S.S. and Shen, Z., An Introduction to Riemann-Finsler Geometry, Graduate Text in Math., 200, Springer, Berlin, 2000.
  • [3] Barthel, W., Über die Minimalflächen in gefaserten Finslerr¨aumen, Ann. di Mat., 36 (1954), 159–190.
  • [4] Bejancu, A., Special immersions of Finsler spaces, Stud. Cercet. Mat., 39 (1987), 463–487.
  • [5] Bejancu, A., Finsler Geometry and Applications, Ellis Horwood, New York, 1990.
  • [6] Bejancu, A. and Farran, H.R., On the classification of Randers manifolds of constant cur- vature, Bull. Math. Soc. Sci. Math. Roumanie, 52 (100), No. 3, 2009, 227–239.
  • [7] Bejancu, A. and Farran, H.R., Geometry of Pseudo-Finsler Submanifolds, Kluwer Academic Publishers, Dordrecht, 2000.
  • [8] Comic, I., The intrinsic curvature tensors of a subspace in a Finsler space, Tensor, N.S., 24 (1972), 19–28.
  • [9] Haimovici, M., Variétés totalement extrémales et variétés totalement géodésiques dans les espaces de Finsler, Ann. Sci. Univ. Jassy, 25 (1939), 559–644.
  • [10] Matsumoto, M., The induced and intrinsic Finsler connections of a hypersurface and Fins- lerian projective geometry, J. Math. Kyoto Univ., 25 (1985), 107–144.
  • [11] Matsumoto, M., Theory of Y -extremal and minimal hypersurfaces in a Finsler space, J. Math. Kyoto Univ., 26 (1986), 647–665.
  • [12] Matsumoto, M., Foundations of Finsler Geometry and Special Finsler Spaces, Kaiseisha Press, Saikawa, Ōtsu, 1986.
  • [13] Miron, R., A non-standard theory of hypersurfaces in Finsler spaces, An. St. Univ. ”Al.I. Cuza” Iasi, 30 (1974), 35–53.
  • [14] Rund, H., The Differential Geometry of Finsler Spaces, Grundlehr. Math. Wiss., 101, Springer, Berlin, 1959.
  • [15] Shen, Z., On Finsler geometry of submanifolds, Math. Ann., 311 (1998), 549–576.
  • [16] Tanno, S., Sasakian manifolds with constant ϕ-holomorphic sectional curvature, Tôhoku Math. J., 21 (1969), 501–507.
  • [17] Varga, O.,Über den inneren und induzierten Zusammenhang fu¨r Hyperflächen in Finsler- schen R¨aumen, Publ. Math. Debrecen, 8 (1961), 208–217.
  • [18] Wegener, J.M., Hyperfächen in Finslerschen R¨aumen als Transversalfla¨chen einer Schar von Extremalen, Monatsh. Math. Phys., 44 (1936), 115–130.