On the Second Order Infinitesimal Bendings of a Class of Toroids
Infinitesimal bending of a subspace of a space with non-symmetric basic tensor
In this work infinitesimal bending of a subspace of a generalized Riemannian space (with non-symmetric basic tensor) are studied. Based on non-symmetry 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).
Infinitesimal Deformations of Curvature Tensors at Non-symmetric Affine Connection Space
On equitorsion holomorphically projective mappings of generalized Kählerian spaces
In this paper we investigate holomorphically projective mappings of generalized Kählerian spaces. In the case of equitorsion holomorphically projective mappings of generalized Kählerian spaces we obtain five invariant geometric objects for these mappings.
Infinitesimal deformations and Lie derivative of a non-symmetric affine connection space
Equitorsion holomorphically projective mappings of generalized Kählerian space of the first kind
In this paper we define generalized Kählerian spaces of the first kind given by (2.1)–(2.3). For them we consider hollomorphically projective mappings with invariant complex structure. Also, we consider equitorsion geodesic mapping between these two spaces ( and ) and for them we find invariant geometric objects.
Equitorsion conform mappings of generalized Riemannian spaces
A new proof of a theorem of Belov.
On variation of the volume under infinitesimal bending of a closed rotational surface.
On equitorsion geodesic mappings of general affine connection spaces
Spaces with non-symmetric affine connection.
Derivational formulas of a submanifold of a generalized Riemannian space.
On holomorphically projective mappings of generalized Kählerian spaces.
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