Messanae Universitas Studiorum

$CR$ submanifolds with parallel mean curvature vector of a complex space form

Ki, U.H. and Kon, Masahiro (1992) $CR$submanifolds with parallel mean curvature vector of a complex space form. Accademia Peloritana dei Pericolanti Classe FF.MM.NN., 70. pp. 173-192.

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    Abstract

    We study $CR$ submanifolds with nonvanishing parallel mean curvature vector immersed in a complex space form and compute the restricted Laplacian for the second fundamental form in the direction of the mean curvature vector under the additional condition on the second fundamental form and the $f$-structure in the tangent bundie. As an application, we prove a theorem for a $CR$ submanifold with nonpositive sectional curvature.

    Item Type: Article
    Subjects: M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Fisiche, Matematiche e Naturali > 1992 > 1992 Parte 2
    M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Medico-Biologiche > 1992 > 1992 Parte 2
    M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Giuridiche, Economiche e Politiche > 1992 > 1992 Parte 2
    M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Lettere, Filosofia e belle Arti > 1992 > 1992 Parte 2
    Divisions: UNSPECIFIED
    Depositing User: Dr M P
    Date Deposited: 21 Sep 2012 10:23
    Last Modified: 22 Jan 2013 09:56
    URI: http://cab.unime.it/mus/id/eprint/750

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