Injectivité de la transformation de Radon sur les grassmanniennes
Invariant analysis and contractions of symmetric spaces : part II
Invariant analysis and contractions of symmetric spaces. Part I
Invariant -structures on the flag manifolds .
Invariant hyperbolic differential operators on an ordered symmetric space. (Opérateurs différentiels invariants hyperboliques sur un espace symétrique ordonné.)
Invariant mesures on homogeneous manifolds of reductive type.
Invariant projectively flat connections and its applications.
Isometric equivalence of directions in Riemannian symmetric spaces.
Isoparametric hypersurfaces with less than four principal curvatures in a sphere
We characterize Clifford hypersurfaces and Cartan minimal hypersurfaces in a sphere by some properties of extrinsic shapes of their geodesics.
Isospectral deformations of the Lagrangian Grassmannians
We study the special Lagrangian Grassmannian , with , and its reduced space, the reduced Lagrangian Grassmannian . The latter is an irreducible symmetric space of rank and is the quotient of the Grassmannian under the action of a cyclic group of isometries of order . The main result of this paper asserts that the symmetric space possesses non-trivial infinitesimal isospectral deformations. Thus we obtain the first example of an irreducible symmetric space of arbitrary rank , which is...
Jordan algebras and generalized principle series representations.
Kennzeichnung der geodätischen Abstandssphären in Hn+ 1 durch ihr Schattengrenzen-Verhalten bei paralleler und punktförmiger Beleuchtung.
Kikkawa loops and homogeneous loops
In H. Kiechle's publication ``Theory of K-loops'' [3], the name Kikkawa loops is given to symmetric loops introduced by the author in 1973. This concept started from an analogical imagination of sum of vectors in Euclidean space brought up on a sphere. In 1975, this concept was extended by him to the more general concept of homogeneous loops, and it led us to a non-associative generalization of the theory of Lie groups. In this article, the backstage of finding these concepts will be disclosed from...
Killing vector fields of constant length on Riemannian manifolds.
Knots in derived from Sym(2, ℝ)
We realize closed geodesics on the real conformal compactification of the space V = Sym(2, ℝ) of all 2 × 2 real symmetric matrices as knots or 2-component links in and show that these knots or links have certain types of symmetry of period 2.
Kompakte Unterräume symmetrischer Räume.
L2-index theorems on locally symmetric spaces.
Le complexe de Koszul en algèbre et topologie
The Koszul complex, as introduced in 1950, was a differential graded algebra which modelled a principal fibre bundle. Since then it has been an effective tool, both in algebra and in topology, for the calculation of homological and homotopical invariants. After a partial summary of these results we recall more recent generalizations of this complex, and some applications.
Length spectrum for compact locally symmetric spaces of strictly negative curvature
L'entropie minimale des espaces symétriques