Spaces with a covariant constant linear geometric object
Spaces with exceptional fundamental groups.
Spaces with non-symmetric affine connection.
Spaces with Ricci curvature bounds.
Space-time coordinate transformations in continuum mechanics invariable equations of thermomechanics
Space-time decompositions via differential forms
The author presents a simple method (by using the standard theory of connections on principle bundles) of -decomposition of the physical equations written in terms of differential forms on a 4-dimensional spacetime of general relativity, with respect to a general observer. Finally, the author suggests possible applications of such a decomposition to the Maxwell theory.
Space-time distributions.
Space-times admitting a covariantly constant spinor field
Special adapted basis in .
Special categories of rectilinear congruences
Special cohomogeneity one isometric actions on irreducible symmetric spaces of types I and II.
Special compositions in affinely connected spaces without a torsion
2000 Mathematics Subject Classification: 53B05, 53B99.Let AN be an affinely connected space without a torsion. With the help of N independent vector fields and their reciprocal covectors is built an affinor which defines a composition Xn ×Xm (n+m = N). The structure is integrable. New characteristics by the coefficients of the derivative equations are found for special compositions, studied in [1], [3]. Two-dimensional manifolds, named as bridges, which cut the both base manifolds of the composition...
Special Connections on Almost-Multifoliate Riemannian Manifolds.
Special connections on smooth 3-web manifolds
For a three-web of codimension on a differentiable manifold of dimension , the author studies the Chern connection and a family of parallelizing connections. The latter ones have a common property with the former: the web-distributions are parallel with respect to them.
Special connections on symplectic manifolds
Special curves and ruled surfaces.
Special directions in complex contact manifolds.
Special directions on contact metric manifolds of negative -sectional curvature
Special Einstein’s equations on Kähler manifolds
This work is devoted to the study of Einstein equations with a special shape of the energy-momentum tensor. Our results continue Stepanov’s classification of Riemannian manifolds according to special properties of the energy-momentum tensor to Kähler manifolds. We show that in this case the number of classes reduces.
Special generalized Gauss graphs and their application to minimization of functional involving curvatures.