Derivational formulas of a submanifold of a generalized Riemannian space.
Doubly projected tensor fields and connections in a second order semitangent bundle
Dual Connections and Affine Geometry.
En marge de l'exposé de Meyer : « Géométrie différentielle stochastique »
Equipping distributions for linear distribution
In this paper there are discussed the three-component distributions of affine space . Functions , which are introduced in the neighborhood of the second order, determine the normal of the first kind of -distribution in every center of -distribution. There are discussed too normals and quasi-tensor of the second order . In the same way bunches of the projective normals of the first kind of the -distributions were determined in the differential neighborhood of the second and third order.
Equitorsion conform mappings of generalized Riemannian spaces
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.
Équivalence projective et équivalence conforme
Essential parabolic structures and their infinitesimal automorphisms.
-manifolds and integrable systems of hydrodynamic type
We investigate the role of Hertling-Manin condition on the structure constants of an associative commutative algebra in the theory of integrable systems of hydrodynamic type. In such a framework we introduce the notion of -manifold with compatible connection generalizing a structure introduced by Manin.
-Планарные преобразования пространств аффинной связности
First type almost geodesic mappings of general affine connection spaces.
∇-flat functions on manifolds
We investigate ∇-flat and pointwise-∇-flat functions on affine and Riemannian manifolds. We show that the set of all ∇-flat functions on (M,∇) is a ring which has interesting properties similar to the ring of polynomial functions.
Generalized Tanaka-Webster and Levi-Civita connections for normal Jacobi operator in complex two-plane Grassmannians
We study classifying problems of real hypersurfaces in a complex two-plane Grassmannian . In relation to the generalized Tanaka-Webster connection, we consider that the generalized Tanaka-Webster derivative of the normal Jacobi operator coincides with the covariant derivative. In this case, we prove complete classifications for real hypersurfaces in satisfying such conditions.
Geodesic mapping onto Kählerian spaces of the first kind
In the present paper a generalized Kählerian space of the first kind is considered as a generalized Riemannian space with almost complex structure that is covariantly constant with respect to the first kind of covariant derivative. Using a non-symmetric metric tensor we find necessary and sufficient conditions for geodesic mappings with respect to the four kinds of covariant derivatives. These conditions have the form of a closed system of partial differential equations in covariant derivatives...
Geodesic reduction via frame bundle geometry.
Geometric interpretation of curvature tensors and pseudotensors of a space with a nonsymmetric affine connection.
Geometry of k-Lagrange Spaces of Second Order
Higher covariant derivatives.
Higher order connections.