Submanifolds With Homothetic Gauss Map In Codimension Two
Guilherme Machado de Freitas
TL;DR
This paper classifies all submanifolds in space forms of codimension two that have a homothetic Gauss map, providing a comprehensive understanding of their geometric properties.
Contribution
It offers a complete classification of submanifolds with homothetic Gauss maps in codimension two space forms, a problem previously not fully resolved.
Findings
Complete classification of submanifolds with homothetic Gauss map
Identification of geometric conditions for homothety
Extension of known results to codimension two cases
Abstract
In this article we derive a complete classification of all submanifolds in space forms with codimension two for which the Gauss map is homothetic.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Advanced Differential Geometry Research · Mathematics and Applications