Géométrie sous-riemannienne
Geometry and function algebra on pseudo-flat manifolds
Geometry of Poisson structures.
Geometry of Warped Product Semi-Invariant Submanifolds of a Locally Riemannian Product Manifold
2000 Mathematics Subject Classification: 53C42, 53C15.In this article, we have studied warped product semi-invariant submanifolds in a locally Riemannian product manifold and introduced the notions of a warped product semi-invariant submanifold. We have also proved several fundamental properties of a warped product semi-invariant in a locally Riemannian product manifold.Supported by the Scientific Research Fund of St. Kl. Ohridski Sofia University under contract 90/2008.
Geometry on the group of Hamiltonian diffeomorphisms.
Graded lagrangian submanifolds
Graded Poisson structures on the algebra of differential forms.
Grassmannian structures on manifolds.
Groupes de spinorialité
Groups in the category of f-manifolds
Groups of transformations of a G-structure whic H leave invariant a substructure.
G-structures of second order defined by linear operators satisfying algebraic relations.
The present work is based on a type of structures on a differential manifold V, called G-structures of the second kind, defined by endomorphism J on the second order tangent bundle T2(V ). Our objective is to give conditions for a differential manifold to admit a real almost product and a generalised almost tangent structure of second order. The concepts of the second order frame bundle H2(V ), its structural group L2 and its associated tangent bundle of second order T2(V ) of a differentiable manifold...
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...