Les groupes de transvections des espaces symétriques associés à une algèbre de Jordan de forme réelle
Lifts of generalized symmetric spaces to tangent bundles
Local reflexion spaces
A reflexion space is generalization of a symmetric space introduced by O. Loos in [4]. We generalize locally symmetric spaces to local reflexion spaces in the similar way. We investigate, when local reflexion spaces are equivalently given by a locally flat Cartan connection of certain type.
Local well-posedness of solutions to 2D magnetic Prandtl model in the Prandtl-Hartmann regime
We consider the 2D magnetic Prandtl equation in the Prandtl-Hartmann regime in a periodic domain and prove the local existence and uniqueness of solutions by energy methods in a polynomial weighted Sobolev space. On the one hand, we have noted that the -derivative of the pressure plays a key role in all known results on the existence and uniqueness of solutions to the Prandtl-Hartmann regime equations, in which the case of favorable
Locally symmetric immersions
We use reflections with respect to submanifolds and related geometric results to develop, inspired by the work of Ferus and other authors, in a unified way a local theory of extrinsic symmetric immersions and submanifolds in a general analytic Riemannian manifold and in locally symmetric spaces. In particular we treat the case of real and complex space forms and study additional relations with holomorphic and symplectic reflections when the ambient space is almost Hermitian. The global case is also...
Loop group decompositions in the generalized method.
Manifolds of nonpositive curvature and their buildings
Matsuki correspondence for sheaves.
Mean curvature comparison for tubular hypersurfaces in symmetric spaces.
Measures on the geometric limit set in higher rank symmetric spaces
Minimal cones and the spherical Bernstein prob-lem. III.
Minimal isometric immersions of spherical space forms in spheres.
Monotone functions on symmetric spaces.
Natural intrinsic geometrical symmetries.
New Examples of Weakly Symmetric Spaces.
Nonresonance conditions for arrangements
We prove a vanishing theorem for the cohomology of the complement of a complex hyperplane arrangement with coefficients in a complex local system. This result is compared with other vanishing theorems, and used to study Milnor fibers of line arrangements, and hypersurface arrangements.
Nonzero degree tangential maps between dual symmetric spaces.
Notes on symmetric conformal geometries
In this article, we summarize the results on symmetric conformal geometries. We review the results following from the general theory of symmetric parabolic geometries and prove several new results for symmetric conformal geometries. In particular, we show that each symmetric conformal geometry is either locally flat or covered by a pseudo-Riemannian symmetric space, where the covering is a conformal map. We construct examples of locally flat symmetric conformal geometries that are not pseudo-Riemannian...
Noyau de Cauchy-Szegö d'un espace symétrique de type Cayley
Dans cet article, en utilisant les algèbres de Jordan euclidiennes, nous étudions l’espace de Hardy d’un espace symétrique de type Cayley . Nous montrons que le noyau de Cauchy-Szegö de s’exprime comme somme d’une série faisant intervenir la fonction de Harish-Chandra de l’espace symétrique riemannien , la fonction de l’espace symétrique -dual de et les fonctions sphériques de l’espace symétrique ordonné . Nous établissons, dans le cas où la dimension de l’algèbre de Jordan associée...
On 3-symmetric Riemannian spaces of solvable type