EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 60(74), pp. 137--142 (1996)

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Totally umbilical degenerate Monge hypersurfaces\newline of $R_1^4$

Constantin C\u alin

Department of Mathematics, Technical University, 6600 Iasi, Romania

Abstract: We determine all the totally umbilical lightlike Monge hypersurfaces of $R^4_1$. This is done by using the Bejancu-Duggal method [1] of studying lightlike hypersurfaces and then integrating a system of partial differential equations.

Keywords: lightlike degenerate hypersurfaces, totally umbilical, screen distribution, lightlike transversal vector bundle

Classification (MSC2000): 53C40; 53C55

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Electronic fulltext finalized on: 1 Nov 2001. This page was last modified: 16 Nov 2001.

© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
© 2001 ELibM for the EMIS Electronic Edition