2018AIP conference proceedingsOpen access

On the Gauss map of a class of hypersurfaces in ℍ4

Nurettin Cenk Turgay, Erhan Güler

Open full text 0 citations

Abstract

We consider hypersurfaces of Riemannian space forms in terms of the type of their Gauss map, spherical Gauss map or hyperbolic Gauss map. We give a brief summary of results on submanifolds with Lk finite type Gauss map for k > 0. We also obtain some classification results.

About this research paper

What this paper is about

We consider hypersurfaces of Riemannian space forms in terms of the type of their Gauss map, spherical Gauss map or hyperbolic Gauss map. We give a brief summary of results on submanifolds with Lk finite type Gauss map for k > 0. We also obtain some classification results.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

We consider hypersurfaces of Riemannian space forms in terms of the type of their Gauss map, spherical Gauss map or hyperbolic Gauss map. We give a brief summary of results on submanifolds with Lk finite type Gauss map for k > 0. We also obtain some classification results.

Key concepts: Gauss map, Gauss, Class (philosophy), Mathematics, Type (biology), Space (punctuation), Pure mathematics, Mathematical analysis

Related papers

Back to paper searchBrowse research topicsOriginal source
On the Gauss map of a class of hypersurfaces in ℍ4 — Research Paper | ScholarLens