Hamiltonian systems, Lagrangian tori and Birkhoffs's theorem.
H-anti-invariant submersions from almost quaternionic Hermitian manifolds
As a generalization of anti-invariant Riemannian submersions and Lagrangian Riemannian submersions, we introduce the notions of h-anti-invariant submersions and h-Lagrangian submersions from almost quaternionic Hermitian manifolds onto Riemannian manifolds. We obtain characterizations and investigate some properties: the integrability of distributions, the geometry of foliations, and the harmonicity of such maps. We also find a condition for such maps to be totally geodesic and give some examples...
Harmonic almost-complex structures
Harmonic cohomology classes of symplectic manifolds.
Harmonic conformal flows on manifolds of constant curvature
We compute the energy of conformal flows on Riemannian manifolds and we prove that conformal flows on manifolds of constant curvature are critical if and only if they are isometric.
Harmonic maps on contact metric manifolds
Harmonic symplectic spinors on Riemann surfaces.
H-conformal anti-invariant submersions from almost quaternionic Hermitian manifolds
We introduce the notions of h-conformal anti-invariant submersions and h-conformal Lagrangian submersions from almost quaternionic Hermitian manifolds onto Riemannian manifolds as a generalization of Riemannian submersions, horizontally conformal submersions, anti-invariant submersions, h-anti-invariant submersions, h-Lagrangian submersion, conformal anti-invariant submersions. We investigate their properties: the integrability of distributions, the geometry of foliations, the conditions for such...
Hermitian natural tensors.
Higher order contact of real curves in a real hyperquadric
Holomorphic forms and holomorphic vector fields on compact generalized Hopf manifolds
Holomorphically projective curvature tensors
Homogeneous metrical structures on manifold.
Homomorphisms of the Lie algebras associated with a symplectic manifold
Homotopie régulière inactive et engouffrement symplectique
Une homotopie régulière , , dans une variété symplectique est dite inactive si en chaque point le déplacement infinitésimal est -orthogonal à l’espace tangent de l’objet déplacé. Si est un polyèdre de de dimension et si est un ouvert de , toute homotopie de jusqu’à est déformable en une homotopie régulière inactive. On donne une application à l’engouffrement en géométrie symplectique.
Homotopy Classification of Nondegenerate Quasiperiodic Curves on the 2-sphere
Homotopy properties of Hamiltonian group actions.
Hopf hypersurfaces in complex two-plane Grassmannians with generalized Tanaka-Webster -parallel structure Jacobi operator
Regarding the generalized Tanaka-Webster connection, we considered a new notion of -parallel structure Jacobi operator for a real hypersurface in a complex two-plane Grassmannian G 2(ℂm+2) and proved that a real hypersurface in G 2(ℂm+2) with generalized Tanaka-Webster -parallel structure Jacobi operator is locally congruent to an open part of a tube around a totally geodesic quaternionic projective space ℍP n in G 2(ℂm+2), where m = 2n.
Hopf hypersurfaces in complex two-plane Grassmannians with generalized Tanaka-Webster parallel normal Jacobi operator
We study the classifying problem of immersed submanifolds in Hermitian symmetric spaces. Typically in this paper, we deal with real hypersurfaces in a complex two-plane Grassmannian which has a remarkable geometric structure as a Hermitian symmetric space of rank 2. In relation to the generalized Tanaka-Webster connection, we consider a new concept of the parallel normal Jacobi operator for real hypersurfaces in and prove non-existence of real hypersurfaces in with generalized Tanaka-Webster...
Hopf hypersurfaces in nearly Kaehler 6-sphere.