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 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 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 operations on manifolds with almost Hermitian symmetric structures. II: Normal Cartan connections.
Invariant operators on manifolds with almost Hermitian symmetric structures. I: Invariant differentiation.
Invariant Plurisubharmonic Functions and Hypersurfaces on Semisimple Complex Lie Groups.
Invariant projectively flat connections and its applications.
Invariant structures on the 6-dimensional generalized Heisenberg group
Invariant submanifolds and their second fundamental forms.
Invariant Submanifolds in Sasakian Manifolds.
Invariant submanifolds of codimension 2 of almost contact manifolds
Invariant submanifolds of Sasakian manifolds.
Invariant subspaces in higher order jet prolongations of a fibred manifold
We present a generalization of the concept of semiholonomic jets within the framework of higher order prolongations of a fibred manifold. In this respect, a compilation of our 2-fibred manifold approach with the methods of natural operators theory is used.