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Cauchy data on a manifold

Yvonne Choquet-Bruhat, Demetrios Christodoulou, Mauro Francaviglia (1978)

Annales de l'I.H.P. Physique théorique

Complete classification of spatial surfaces with parallel mean curvature vector in arbitrary non-flat pseudo-Riemannian space forms

Bang-Yen Chen (2009)

Open Mathematics

Submanifolds with parallel mean curvature vector play important roles in differential geometry, theory of harmonic maps as well as in physics. Spatial surfaces in 4D Lorentzian space forms with parallel mean curvature vector were classified by B. Y. Chen and J. Van der Veken in [9]. Recently, spatial surfaces with parallel mean curvature vector in arbitrary pseudo-Euclidean spaces are also classified in [7]. In this article, we classify spatial surfaces with parallel mean curvature vector in pseudo-Riemannian...

Connessioni adattate ad un Riferimento in Relatività Generale

Giorgio Ferrarese, Donato Bini, Gianluca Gemelli (1994)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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).

Constant curvature ( 2 + 1 ) -spacetimes and projective structures

Francesco Bonsante (2004/2005)

Séminaire de théorie spectrale et géométrie

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.

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