Connection theory on differentiable fibre bundles: A concise introduction.
Connections in associated fibre bundles
Connections in -vector bundles.
Connections of order r
Connections on -symplectic manifolds.
Connections with the tensor property associated with a quaternionic projective transformation. (Connexions ayant la propriété tensorielle associées à une transformation projectif quaternionique.)
Connessioni adattate ad un Riferimento in Relatività Generale
I vari metodi di definire connessioni adattate ad un Riferimento fisico vengono qui ricondotti ad un unico formalismo. Viene inoltre introdotta la nozione generale di campo gravitazionale affine adattato (sia al Riferimento che alla connessione).
Connexions à courbure de Ricci donnée.
Conservative projective curvature tensor on trans-Sasakian manifolds with respect to semi-symmetric metric connection.
Constant curvature -spacetimes and projective structures
Nous illustrons une classification des espace-temps (2+1) globalement hyperboliques a courboure constant, en terms de certaines structures projectives complexes portées par les surfaces de niveau de leur temps cosmologique canonique. Ceci derive d’une theorie des rotations de Wick canoniques, developpée en collaboration avec Riccardo Benedetti [6], qui sera egalement brievement illustrée.
Constant mean curvature hypersurfaces with constant -invariant.
Construction of Sobolev spaces of fractional order with sub-riemannian vector fields
Given a smooth family of vector fields satisfying Chow-Hörmander’s condition of step 2 and a regularity assumption, we prove that the Sobolev spaces of fractional order constructed by the standard functional analysis can actually be “computed” with a simple formula involving the sub-riemannian distance.Our approach relies on a microlocal analysis of translation operators in an anisotropic context. It also involves classical estimates of the heat-kernel associated to the sub-elliptic Laplacian.
Contact and equivalence of submanifolds of homogeneous spaces
Contact co-isotropic CR submanifolds of a pseudo-Sasakian manifold.
Contact geometry of curves.
Contact homogeneity and envelopes of Riemannian metrics.
Contact transformation of a presymplectic form with quasi-Sasakian structure.
Convergence and accuracy of approximation methods in general relativity. The time-independent case
Coordonnées polaires sur les surfaces riemanniennes singulières
Nous étudions les conditions sous lesquelles un point d’une surface riemannienne possède un voisinage pouvant être paramétrisé par des coordonnées polaires. Le point en question peut être un point régulier ou un point singulier conique. Nous étudions aussi la régularité de ces coordonnées polaires en fonction de la régularité de la courbure.
Courbures et basculements des sous-variétés riemanniennes