Singularities of a surface given by Kenmotsu-type formula in Euclidean three-space
Luciana F. Martins, Kentaro Saji, Keisuke Teramoto
TL;DR
This paper investigates the singularities of surfaces in Euclidean three-space generated by a Kenmotsu-type formula with specified unbounded mean curvature, expanding understanding of surface behavior under these conditions.
Contribution
It introduces a study of singularities in surfaces defined by Kenmotsu-type formulas with unbounded mean curvature, a novel focus in differential geometry.
Findings
Characterization of singularities in Kenmotsu-type surfaces
Conditions under which singularities occur
Insights into the geometric structure of such surfaces
Abstract
We study singularities of surfaces which are given by Kenmotsu-type formula with prescribed unbounded mean curvature.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Advanced Numerical Analysis Techniques · Point processes and geometric inequalities