ACTA MATHEMATICA
UNIVERSITATIS COMENIANAE




Degenerate Monge-Type Hypersurfaces

D. N. Pham

Received: February 2, 2013;   Revised: May 9, 2013;   Accepted: September 27, 2013



Abstract.   In this note, we extend the notion of a Monge hypersurface from its roots in semi-Euclidean space to more general spaces. For the degenerate case, the geometry of these structures is studied using the Bejancu-Duggal method of screen distributions.  

Keywords:  lightlike geometry; Monge hypersurface; degenerate metric.  

AMS Subject classification: Primary:  53C50, 53B30 


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Acta Mathematica Universitatis Comenianae
ISSN 0862-9544   (Printed edition)

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