Degenerate Monge-Type Hypersurfaces
David N. Pham
TL;DR
This paper generalizes Monge hypersurfaces to broader spaces, focusing on degenerate cases and analyzing their geometry using the Bejancu-Duggal method of screen distributions.
Contribution
It extends the concept of Monge hypersurfaces to more general spaces and studies the degenerate case with a specific geometric approach.
Findings
Characterization of degenerate Monge-type hypersurfaces
Application of Bejancu-Duggal method to these structures
Insights into the geometry of degenerate hypersurfaces
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.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Algebraic Geometry and Number Theory