Recent advances in the theory of holonomy
Reductive homogeneous spaces and nonassociative algebras
The purpose of these survey notes is to give a presentation of a classical theorem of Nomizu [Nom54] that relates the invariant affine connections on reductive homogeneous spaces and nonassociative algebras.
Relations between Finsler and affine connections
Relèvement horizontal des connexions linéaires au fibré vectoriel associé avec le fibré principal des repères linéaires
Relèvements horizontaux de tenseurs de type (1,1) au fibré E = TM⊗T* M
Remarkable vector fields in deformation algebras: Retrospective and perspective. (Champs des vecteurs remarquables dans l'algèbre de déformation: Rétrospective et perspective.)
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.
Ricci and Bianchi identities for -normal -linear connections on .
Ricci identities in the space of non-symmetric affine connexion
Ricci type identities for basic differentiation and curvature tensors in Otsuki spaces.
Ricci type identities for non-basic differentiation in Otsuki spaces.
Ricci Type Identities In A Subspace Of Space Of Non-Symmetric Affine Connexion