p. 67 - 80 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 PDF Compressed Postscript Version to read ISSN 0862-9544 (Printed edition) Faculty of Mathematics, Physics and Informatics Comenius University 842 48 Bratislava, Slovak Republic Telephone: + 421-2-60295111 Fax: + 421-2-65425882 e-Mail: amuc@fmph.uniba.sk Internet: www.iam.fmph.uniba.sk/amuc © 2014, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |