Position vectors of curves in the galilean space G
Projective relatedness and conformal flatness
This paper discusses the connection between projective relatedness and conformal flatness for 4-dimensional manifolds admitting a metric of signature (+,+,+,+) or (+,+,+,−). It is shown that if one of the manifolds is conformally flat and not of the most general holonomy type for that signature then, in general, the connections of the manifolds involved are the same and the second manifold is also conformally flat. Counterexamples are provided which place limitations on the potential strengthening...
Pseudoinversion of degenerate metrics.
Pseudo-Riemannian manifolds endowed with an almost para f-structure.
Pseudo-Riemannian Osserman manifolds.
Pseudo-Riemannian structures with the same connection.
Quantum stochastic dynamics. I.
Quasi-Einstein hypersurfaces in semi-Riemannian space forms
We investigate curvature properties of hypersurfaces of a semi-Riemannian space form satisfying R·C = LQ(S,C), which is a curvature condition of pseudosymmetry type. We prove that under some additional assumptions the ambient space of such hypersurfaces must be semi-Euclidean and that they are quasi-Einstein Ricci-semisymmetric manifolds.
Relationship between Laplacian operator and D'Alembertian operator.
Relativistische Mechanik mit klassicher Geometrie und Kinematik.
Ricci-semisymmetric hypersurfaces.
Ruled W-surfaces in Minkowski 3-space
In this paper, we study a spacelike (timelike) ruled W-surface in Minkowski 3-space which satisfies nontrivial relation between elements of the set , where and are the Gaussian and mean curvatures of the first and second fundamental forms, respectively. Finally, some examples are constructed and plotted.
-metrische Zusammenhänge in isotropen Mannigfaltigkeiten. (- metric connections in isotropic manifolds).
Scalar curvature on lightlike hypersurfaces.
Schéma géométrique à tenseur impulsion-énergie asymétrique. Application à l'étude relativiste de la matière à spin
Screen transversal lightlike submanifolds of indefinite cosymplectic manifolds
Self-duality and pointwise Osserman manifolds
This paper is a contribution to the mathematical modelling of the hump effect. We present a mathematical study (existence, homogenization) of a Hamilton-Jacobi problem which represents the propagation of a front flame in a striated media.
Semigroups in the simply connected covering of SL(2).
Semi-riemannian Manifolds Whose Weyl Tensor is a Kulkarni--nomizu Square
Semi-Riemannian manifolds whose Weyl tensor is a Kulkarni-Nomizu square.