Structures géométriques holomorphes sur les variétés complexes compactes
Structures holomorphiquement projectives III. Structures plates et invariantes sur des variétés homogènes
Structures lisses
Une variété lisse est une variété dont le fibré tangent est muni d’une structure de fibré en algèbres de Lie localement définie par un crochet de champs de vecteurs. On définit les notions de -structures et de pseudo-groupe de Lie adaptées, qui recouvrent les notions usuelles de -structures et pseudogroupes plats.
Structures localement plates isotropes des groupes de Lie
Structures localemnt plates dans certaines variétés symplectiques.
Structures symplectiques faibles et intégrabilité globale de certains systèmes hamiltoniens
Strutture hermitiane e speciali su prodotti di sfere
Strutture subriemanniane in alcuni problemi di Analisi
Vengono presentati alcuni problemi, idee e tecniche sorte nell'ambito della teoria delle equazioni alle derivate parziali del secondo ordine, con forma caratteristica semidefinita positiva e con soggiacenti strutture sub-riemanniane. Se ne traccia lo sviluppo a partire dalla classica teoria delle funzioni armoniche e caloriche, attraverso la teoria del potenziale negli spazi armonici astratti e la teoria della regolarità locale delle soluzioni.
Styk monosystémů projektivních prostorů
Styk variet v afinnom priestore
Subgroups of the group of generalized Lorentz transformations and their geometric invariants.
Submanifold averaging in Riemannian and symplectic geometry
We give a canonical construction of an “isotropic average” of given -close isotropic submanifolds of a symplectic manifold. For this purpose we use an improvement (obtained in collaboration with H. Karcher) of Weinstein’s submanifold averaging theorem and apply “Moser’s trick”. We also present an application to Hamiltonian group actions.
Submanifold Dirac operators with torsion.
Submanifold geometry and Hessians on the pseudoriemannian manifold of metrics.
Submanifold geometry in generalized flag manifolds
Submanifold theory and parallel transport
Submanifolds and the Hofer norm
In [Ch00], Chekanov showed that the Hofer norm on the Hamiltonian diffeomorphism group of a geometrically bounded symplectic manifold induces a nondegenerate metric on the orbit of any compact Lagrangian submanifold under the group. In this paper we consider the orbits of more general submanifolds. We show that, for the Chekanov–Hofer pseudometric on the orbit of a closed submanifold to be a genuine metric, it is necessary for the submanifold to be coisotropic, and we show that this condition is...
Submanifolds in Euclidean Space with Simple Geodesics.
Submanifolds in the variety of planar normal sections.
Submanifolds of a Lorentzian para-Sasakian manifold.