The Cartan model of the canonical vector bundles over the Grassmannian manifolds.
The first eigenvalue of the laplacian for a positively curved homogeneous riemannian manifold
The Free Loop Space of Globally Symmetric Spaces.
The geometry of nilpotent coadjoint orbits of convex type in hermitian Lie algebras.
The geometry of null systems, Jordan algebras and von Staudt's theorem
We characterize an important class of generalized projective geometries by the following essentially equivalent properties: (1) admits a central null-system; (2) admits inner polarities: (3) is associated to a unital Jordan algebra. These geometries, called of the first kind, play in the category of generalized projective geometries a rôle comparable to the one of the projective line in the category of ordinary projective geometries. In this general set-up, we prove an analogue of von Staudt’s...
The group of biholomorphic automorphisms of symmetric Siegel domains and its topology
The Helgason-Fourier transform for symmetric spaces. II.
The infinite Brownian loop on a symmetric space.
The Plancherel formula for the pseudo-riemannian space
The product formula for the spherical functions on symmetric spaces of noncompact type.
The proportionality constant for the simplicial volume of locally symmetric spaces
We follow ideas going back to Gromov's seminal article [Publ. Math. IHES 56 (1982)] to show that the proportionality constant relating the simplicial volume and the volume of a closed, oriented, locally symmetric space M = Γ∖G/K of noncompact type is equal to the Gromov norm of the volume form in the continuous cohomology of G. The proportionality constant thus becomes easier to compute. Furthermore, this method also gives a simple proof of the proportionality principle for arbitrary manifolds.
The relative deformation theory of representations and flat connections and deformations of linkages in constant curvature spaces
The spectra and the symmetric structure on a compact symmetric space.
The spherical transform for homogeneous vector bundles over Riemannian symmetric spaces.
The Stable Topological-hyperbolic Space Form Problem for Complete Manifolds of Finite Volume.
The tangent bundle of -velocities over a homogeneous space
The values of sectional curvature in indefinite metrics.
Three-dimensional conformally flat pseudo-symmetric spaces of constant type
An explicit classification of the spaces in the title is given. The resulting spaces are locally products or locally warped products of the real line and two-dimensional spaces of constant curvature.
Three-dimensional locally symmetric almost Kenmotsu manifolds
We prove that a three-dimensional almost Kenmotsu manifold is locally symmetric if and only if it is locally isometric to either the hyperbolic space ℍ³(-1) or the Riemannian product ℍ²(-4)×ℝ.
Time-like isothermic surfaces associated to Grassmannian systems.