Messanae Universitas Studiorum

Variété hyperbolique de killing spatile ayant la propriété

Ezeddine, Bouacida (1981) Variété hyperbolique de killing spatile ayant la propriété. Accademia Peloritana dei Pericolanti - Classe di Scienze FF.MM.NN., LIX (1). pp. 125-131.

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Abstract

Let ($M$, $g$) be a pseudo-Riemannian manifold having the spatial Killing’s property. If Jf), (M) and S(M) are the hyperboiic and spatial parts respectively at each point p E M, then $M$ is covered by minimal surfaces tangent to J1, (M) and ($n—2$)-spatial minirnal submanifolds tangent to S (H). Furthermore ($M$, $g$) has the geodesic property. If ($M$, $g$) is Lorentzian then ($M$, $g$) is of type D in Petrov’s classification.

Item Type: Article
Subjects: M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Fisiche, Matematiche e Naturali > 1981
M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Medico-Biologiche > 1981
M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Giuridiche, Economiche e Politiche > 1981
M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Lettere, Filosofia e belle Arti > 1981
Depositing User: Dr PP C
Date Deposited: 08 Apr 2013 08:15
Last Modified: 08 Apr 2013 08:15
URI: http://cab.unime.it/mus/id/eprint/1129

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