On submanifolds with parallel Möbius second fundamental form in the unit sphere (Q2874689)
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: On submanifolds with parallel Möbius second fundamental form in the unit sphere |
scientific article; zbMATH DE number 6327966
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On submanifolds with parallel Möbius second fundamental form in the unit sphere |
scientific article; zbMATH DE number 6327966 |
Statements
On submanifolds with parallel Möbius second fundamental form in the unit sphere (English)
0 references
8 August 2014
0 references
Möbius second fundamental form
0 references
parallel submanifold
0 references
Blaschke tensor
0 references
umbilic free
0 references
0 references
0 references
0 references
In the present paper, immersed submanifolds \(x: M^n \mapsto S^{n+p}\) with parallel Möbius second fundamental form are considered.NEWLINENEWLINEIt is shown that the property ``parallel Möbius second fundamental form'' implies that the submanifold has parallel Blaschke tensor and some typical examples of such submanifolds are given.NEWLINENEWLINENEWLINEA complete, consistent classification of Möbius parallel submanifolds is stated for \(p=2\). It is conjectured that the statement obtained for the situation \(p=2\) would be applicable for all codimensions \(p\).
0 references
