Position vectors of curves in the galilean space G
Post-newtonian generation of gravitational waves
Post-newtonian generation of gravitational waves. II. The spin moments
Přehled základních pojmů z geometrie zakřivených prostorů
Principal directions for submanifolds imbedded in Euclidean spaces of arbitrary codimensions.
Product-concircular curvature tensor.
Projections of hypersurfaces in the hyperbolic space to hyperhorospheres and hyperplanes.
Projective connections, double fibrations and formal neighbourhoods of lines.
Projective Finsler connections. (Connections Finsler-projectives.)
Projective geometry and Riemann's mapping problem.
Projective Homogeneity.
Projective invariant metrics and open convex regular cones. I
In this work we give a characterization of the projective invariant pseudometric , introduced by H. Wu, for a particular class of real -manifolds; in view of this result, we study the group of projective transformations for the same class of manifolds and we determine the integrated pseudodistance of in open convex regular cones of , endowed with the characteristic metric.
Projective invariant metrics and open convex regular cones. II
The aim of this work, which continues Part I with the same title, is to study a class of projective transformations of open, convex, regular cones in and to prove a structure theorem for affine transformations of a restricted class of cones; we conclude with a version of the Schwarz Lemma holding for affine transformations.
Projective Randers change of -Finsler spaces
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...
Projectively flat Finsler metrics with orthogonal invariance
We study Finsler metrics with orthogonal invariance. By determining an expression of these Finsler metrics we find a PDE equivalent to these metrics being locally projectively flat. After investigating this PDE we manufacture projectively flat Finsler metrics with orthogonal invariance in terms of error functions.
Projectively invariant distances for affine and projective structures
Propagation des discontinuités du tenseur dérivé du champ électromagnétique et du tenseur de courbure dans une onde électromagnétique et gravitationnelle
Properties of hypersurfaces which are characteristic for spaces of constant curvature
Propriétés projectives des espaces symétriques affines
On donne une description algébrique de l’ensemble des classes d’isomorphisme d’espaces symétriques affines connexes, simplement connexes et projectivement plats. On en déduit une classification des espaces symétriques affines connexes et projectivement plats et on détermine tous les espaces symétriques affines connexes admettant une transformation projective non affine.