Invariant analysis and contractions of symmetric spaces. Part I
Invariant cohomology of the Poisson Lie algebra of a symplectic manifold
Invariant connections and invariant holomorphic bundles on homogeneous manifolds
Let X be a differentiable manifold endowed with a transitive action α: A×X→X of a Lie group A. Let K be a Lie group. Under suitable technical assumptions, we give explicit classification theorems, in terms of explicit finite dimensional quotients, of three classes of objects: equivalence classes of α-invariant K-connections on X α-invariant gauge classes of K-connections on X, andα-invariant isomorphism classes of pairs (Q,P) consisting of a holomorphic Kℂ-bundle Q → X and a K-reduction P of Q (when...
Invariant differential operators and the range of the radon D-plane transform.
Invariant differential operators in hyperbolic spaces.
Invariant differential pairings.
Invariant distances and invariant differential metrics in locally convex spaces
Invariant -structures on the flag manifolds .
Invariant harmonic unit vector fields on Lie groups
We provide a new characterization of invariant harmonic unit vector fields on Lie groups endowed with a left-invariant metric. We use it to derive existence results and to construct new examples on Lie groups equipped with a bi-invariant metric, on three-dimensional Lie groups, on generalized Heisenberg groups, on Damek-Ricci spaces and on particular semi-direct products. In several cases a complete list of such vector fields is given. Furthermore, for a lot of the examples we determine associated...
Invariant harmonic unit vector fields on the oscillator groups
We find all the left-invariant harmonic unit vector fields on the oscillator groups. Besides, we determine the associated harmonic maps from the oscillator group into its unit tangent bundle equipped with the associated Sasaki metric. Moreover, we investigate the stability and instability of harmonic unit vector fields on compact quotients of four dimensional oscillator group .
Invariant hyperbolic differential operators on an ordered symmetric space. (Opérateurs différentiels invariants hyperboliques sur un espace symétrique ordonné.)
Invariant intrinsic Finsler metrics on homogeneous spaces and strong subalgebras of Lie algebras.
Invariant Measures and Minimal Sets of Horospherical Flows.
Invariant Measures and Orbit Closures for Unipotent Action on Homogeneous Spaces (Survey).
Invariant measures for the stable foliation on negatively curved periodic manifolds
We classify reversible measures for the stable foliation on manifolds which are infinite covers of compact negatively curved manifolds. We extend the known results from hyperbolic surfaces to varying curvature and to all dimensions.
Invariant measures of the geodesic flow and measures at infinity on negatively curved manifolds
Invariant mesures on homogeneous manifolds of reductive type.
Invariant metric f-structures on specific homogeneous reductive spaces.
Invariant metrics on the tangent bundle of a homogeneous space
Invariant metrics on the tangent bundle of a homogeneous space