A characterization of hyperspheres in the quaternionic space
A construction of non-flat non-homogeneous symmetric parabolic geometries
We construct series of examples of non-flat non-homogeneous parabolic geometries that carry a symmetry of the parabolic geometry at each point.
A contribution to the connection of V. Hlavatý
A geometric characterization of Finsler manifolds of constant curvature .
A Note on Curvature-like Invariants of Some Connections on Locally Decomposable Spaces
A- субпланарные многообразия как вещественные реализации пространств над алгебрами
Affine analogues of the Sasaki-Shchepetilov connection
For two-dimensional manifold M with locally symmetric connection ∇ and with ∇-parallel volume element vol one can construct a flat connection on the vector bundle TM ⊕ E, where E is a trivial bundle. The metrizable case, when M is a Riemannian manifold of constant curvature, together with its higher dimension generalizations, was studied by A.V. Shchepetilov [J. Phys. A: 36 (2003), 3893-3898]. This paper deals with the case of non-metrizable locally symmetric connection. Two flat connections on...
Algebraic restrictions on geometric realizations of curvature models
We generalize a previous result concerning the geometric realizability of model spaces as curvature homogeneous spaces, and investigate applications of this approach. We find algebraic restrictions to realize a model space as a curvature homogeneous space up to any order, and study the implications of geometrically realizing a model space as a locally symmetric space. We also present algebraic restrictions to realize a curvature model as a homothety curvature homogeneous space up to even orders,...
Basic concepts of the difference geometry
Chen inequalities for submanifolds of a locally conformal almost cosymplectic manifold with a semi-symmetric metric connection.
Christoffer Symbols and Connection Forms on Infinite-Dimensional Fibre Bundles
Conformal structures associated to generic rank 2 distributions on 5-manifolds -- characterization and Killing-field decomposition.
Connections of order r
Connexions à courbure de Ricci donnée.
Conservative projective curvature tensor on trans-Sasakian manifolds with respect to semi-symmetric metric connection.
Curvature theory of generalized connection in .
Cyclic structures of geometric objects involving a connection and Lie derivatives
Degenerate metrical -structure on vector bundles.
Differential pseudoconnections and field theories
Distinguished geodesics and jacobi fields on first order jet spaces
In the framework of jet spaces endowed with a non-linear connection, the special curves of these spaces (h-paths, v-paths, stationary curves and geodesics) which extend the corresponding notions from Riemannian geometry are characterized. The main geometric objects and the paths are described and, in the case when the vertical metric is independent of fiber coordinates, the first two variations of energy and the extended Jacobi field equations are derived.