On the geodesic projection of connections
On the projective motion in a projective Finsler space of recurrent curvature
On the projective structure of a real hypersurface in C...
Order of holonomy of a surface with projective connection
Projective connections, double fibrations and formal neighbourhoods of lines.
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 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 invariant distances for affine and projective structures
Real projective structures on Riemann surfaces
Remarks on F-planar curves and their generalizations
Generalized planar curves (A-curves) are more general analogues of F-planar curves and geodesics. In particular, several well known geometries are described by more than one affinor. The best known example is the almost quaternionic geometry. A new approach to this topic (A-structures) was started in our earlier papers. In this paper we expand the concept of A-structures to projective A-structures.
Statistical manifolds with maximal automorphisms group.
The works of Charles Ehresmann on connections: from Cartan connections to connections on fibre bundles
Around 1923, Élie Cartan introduced affine connections on manifolds and defined the main related concepts: torsion, curvature, holonomy groups. He discussed applications of these concepts in Classical and Relativistic Mechanics; in particular he explained how parallel transport with respect to a connection can be related to the principle of inertia in Galilean Mechanics and, more generally, can be used to model the motion of a particle in a gravitational field. In subsequent papers, Élie Cartan...
-projective symmetries of fibered manifolds
We prove that the set of the -projective symmetries is a Lie algebra.
Verallgemeinerte projektiv-euklidische Räume
Zur Lehre vom Zusammenhange
Геометрия на m- поверхности квазиэллиптического пространства
Инвариантные связности без кручений в касательных расслоениях конформных плоскостей Мебиуса