Non-degenerate hypersurfaces of a semi-Riemannian manifold with a semi-symmetric metric connection
Yücesan, Ahmet ; Ayyildiz, Nihat
Archivum Mathematicum, Tome 044 (2008), p. 77-88 / Harvested from Czech Digital Mathematics Library
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We derive the equations of Gauss and Weingarten for a non-degenerate hypersurface of a semi-Riemannian manifold admitting a semi-symmetric metric connection, and give some corollaries of these equations. In addition, we obtain the equations of Gauss curvature and Codazzi-Mainardi for this non-degenerate hypersurface and give a relation between the Ricci and the scalar curvatures of a semi-Riemannian manifold and of its a non-degenerate hypersurface with respect to a semi-symmetric metric connection. Eventually, we establish conformal equations of Gauss curvature and Codazzi-Mainardi.

Publié le : 2008-01-01
Classification:  53B15,  53B30,  53C05,  53C50 
@article{108098,
     author = {Ahmet Y\"ucesan and Nihat Ayyildiz},
     title = {Non-degenerate hypersurfaces of~a~semi-Riemannian manifold with~a~semi-symmetric metric connection},
     journal = {Archivum Mathematicum},
     volume = {044},
     year = {2008},
     pages = {77-88},
     zbl = {1212.53023},
     mrnumber = {2431233},
     language = {en},
     url = {http://dml.mathdoc.fr/item/108098}
}

Yücesan, Ahmet; Ayyildiz, Nihat. Non-degenerate hypersurfaces of a semi-Riemannian manifold with a semi-symmetric metric connection. Archivum Mathematicum, Tome 044 (2008) pp. 77-88. http://gdmltest.u-ga.fr/item/108098/

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