Sur une caractérisation de la sphère \(S^{2n+1}\) en termes de géométrie riemannienne de contact. (On a characterization of the sphere \(S^{2n+1}\) in terms of Riemannian contact geometry.) (Q1262547)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Sur une caractérisation de la sphère \(S^{2n+1}\) en termes de géométrie riemannienne de contact. (On a characterization of the sphere \(S^{2n+1}\) in terms of Riemannian contact geometry.) |
scientific article; zbMATH DE number 4124523
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sur une caractérisation de la sphère \(S^{2n+1}\) en termes de géométrie riemannienne de contact. (On a characterization of the sphere \(S^{2n+1}\) in terms of Riemannian contact geometry.) |
scientific article; zbMATH DE number 4124523 |
Statements
Sur une caractérisation de la sphère \(S^{2n+1}\) en termes de géométrie riemannienne de contact. (On a characterization of the sphere \(S^{2n+1}\) in terms of Riemannian contact geometry.) (English)
0 references
1989
0 references
The main result of this paper is the following: the only complete and connected hypersurfaces of a Euclidean space which have a distribution of codimension 1, non-integrable and isohelicoidal, are the spheres.
0 references
contact structures
0 references
hypersurfaces
0 references
spheres
0 references
0.8328375220298767
0 references
0.7634946703910828
0 references
