Decomposition theorems in differential geometry.
Dégénerescence locale des transformations conformes pseudo-riemanniennes
Nous étudions l’ensemble Conf des immersions conformes entre deux variétés pseudo-riemanniennes et . Nous caractérisons notamment l’adhérence de Conf dans l’espace des applications continues , et décrivons quelques propriétés géométriques de lorsque cette adhérence est non triviale.
Des immersions isométriques de surfaces aux variétés hyperboliques à bord convexe
Diffeomorphisms constructively associated with mutually diverging spacetimes which allow a natural identification of event points in general relativity. Part II
In questo lavoro si dà una definizione di divergenza fra cronotopi della Relatività Generale e si costruisce un criterio per l'identificazione dei punti eventi di cronotopi divergenti che appartengono ad una classe consistente con la presenza di campi elettromagnetici nel vuoto.
Differential geometry of indefinite complex submanifolds in indefinite complex space forms.
Distinguished connections on -metric manifolds
We study several linear connections (the first canonical, the Chern, the well adapted, the Levi Civita, the Kobayashi-Nomizu, the Yano, the Bismut and those with totally skew-symmetric torsion) which can be defined on the four geometric types of -metric manifolds. We characterize when such a connection is adapted to the structure, and obtain a lot of results about coincidence among connections. We prove that the first canonical and the well adapted connections define a one-parameter family of adapted...
Duality Principle and Special Osserman Manifolds