Geodesic
Infinitesimal bending of a subspace of a space with non-symmetric basic tensor
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 44 (2005) no. 1, pp. 115-130

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In this work infinitesimal bending of a subspace of a generalized Riemannian space (with non-symmetric basic tensor) are studied. Based on non-sym\-metry of the connection, it is possible to define four kinds of covariant derivative of a tensor. We have obtained derivation formulas of the infinitesimal bending field and integrability conditions of these formulas (equations).
Classification : 53A45, 53B05, 53B20, 53C25
Keywords: generalized Riemannian space; infinitesimal bending; infinitesimal deformation; subspace 
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Minčić, Svetislav M.; Velimirović, Ljubica S. Infinitesimal bending of a subspace of a space with non-symmetric basic tensor. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 44 (2005) no. 1, pp. 115-130. http://geodesic.mathdoc.fr/item/AUPO_2005__44_1_a10/