On some generalisation of recurrent manifolds.
On some generalized Einstein metric conditions.
On stability of minimal submanifolds in compact symmetric spaces
On the Demazure character formula
On the differential form spectrum of hyperbolic manifolds
We give a lower bound for the bottom of the differential form spectrum on hyperbolic manifolds, generalizing thus a well-known result due to Sullivan and Corlette in the function case. Our method is based on the study of the resolvent associated with the Hodge-de Rham laplacian and leads to applications for the (co)homology and topology of certain classes of hyperbolic manifolds.
On the exponential function of an ordered manifold with affine connection.
On the geometric rank of homogeneous spaces of nonpositive curvature.
On the Geroch group
On the Irreducibility of Flensted-Jensen's Fundamental Series Representations for Semisimple Symmetric Spaces.
On the mod p Betti numbers of loop spaces.
On the product formula on noncompact Grassmannians
We study the absolute continuity of the convolution of two orbital measures on the symmetric space SO₀(p,q)/SO(p)×SO(q), q > p. We prove sharp conditions on X,Y ∈ for the existence of the density of the convolution measure. This measure intervenes in the product formula for the spherical functions. We show that the sharp criterion developed for SO₀(p,q)/SO(p)×SO(q) also serves for the spaces SU(p,q)/S(U(p)×U(q)) and Sp(p,q)/Sp(p)×Sp(q), q > p. We moreover apply our results to the study of...
On the reflections in bounded symmetric domains
On the Structure of Cut Loci in Compact Riemannian Symmetrie Spaces.
On the transverse Scalar Curvature of a Compact Sasaki Manifold
We show that the standard picture regarding the notion of stability of constant scalar curvature metrics in Kähler geometry described by S.K. Donaldson [10, 11], which involves the geometry of infinitedimensional groups and spaces, can be applied to the constant scalar curvature metrics in Sasaki geometry with only few modification. We prove that the space of Sasaki metrics is an infinite dimensional symmetric space and that the transverse scalar curvature of a Sasaki metric is a moment map of the...
On the trigonometry of symmetric spaces.
On the volume of unit vector fields on a compact semisimple Lie group.
On topological Tits buildings and their classification
On Warped Product Manifolds Satisfying some Curvature Condition of Pseudosymmetric Type
On weakly cyclic Ricci symmetric manifolds
We introduce a type of non-flat Riemannian manifolds called weakly cyclic Ricci symmetric manifolds and study their geometric properties. The existence of such manifolds is shown by several non-trivial examples.
Oscillating multipliers on noncompact symmetric spaces.