Radon transforms and spectral rigidity on the complex quadrics and the real Grassmannians of rank two.
Rank and symmetry of Riemannian manifolds.
Rechtsdistributive Multiplikationen auf homogenen Räumen.
Reflector spaces over the 4-dimensional Kaneyuki-Kozai's para-Hermitian symmetric spaces.
Remarks on Grassmannian Symmetric Spaces
The classical concept of affine locally symmetric spaces allows a generalization for various geometric structures on a smooth manifold. We remind the notion of symmetry for parabolic geometries and we summarize the known facts for -graded parabolic geometries and for almost Grassmannian structures, in particular. As an application of two general constructions with parabolic geometries, we present an example of non-flat Grassmannian symmetric space. Next we observe there is a distinguished torsion-free...
Remarks on symmetries of parabolic geometries
We consider symmetries on filtered manifolds and we study the -graded parabolic geometries in more details. We discuss the existence of symmetries on the homogeneous models and we conclude some simple observations on the general curved geometries.
Résolubilité sur un espace riemannien symétrique
Ricci-flat metrics on the complexification of a compact rank one symmetric space.
Riemannian Manifolds with General Symmetries.
Riemannian regular -manifolds
Riemannian symmetries in flag manifolds
Flag manifolds are in general not symmetric spaces. But they are provided with a structure of -symmetric space. We describe the Riemannian metrics adapted to this structure and some properties of reducibility. The conditions for a metric adapted to the -symmetric structure to be naturally reductive are detailed for the flag manifold .
Rigidité forte des espaces riemanniens localement symétriques
Rigidité infinitésimale des espaces projectifs et des quadriques complexes.
Rigidité infinitésimale et géométrie de la quadrique complexe de dimension 4
Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings
Rigidity of Rank-One Factors of Compact Symmetric Spaces
We consider the decomposition of a compact-type symmetric space into a product of factors and show that the rank-one factors, when considered as totally geodesic submanifolds of the space, are isolated from inequivalent minimal submanifolds.
Rigidity of symmetric spaces