On invariant submanifolds of almost \(\alpha\)-Kenmotsu manifolds (Q2822178)
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 invariant submanifolds of almost \(\alpha\)-Kenmotsu manifolds |
scientific article; zbMATH DE number 6630242
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On invariant submanifolds of almost \(\alpha\)-Kenmotsu manifolds |
scientific article; zbMATH DE number 6630242 |
Statements
27 September 2016
0 references
almost \(\alpha\)-Kenmotsu manifold
0 references
Kenmotsu manifold
0 references
invariant submanifold
0 references
On invariant submanifolds of almost \(\alpha\)-Kenmotsu manifolds (English)
0 references
The author introduces the notions of almost \(\alpha\)-Kenmotsu manifolds \(\tilde{M} \) and invariant submanifolds of almost \(\alpha\)-Kenmotsu manifolds \( M \). This is the main result of the paper under consideration. assume that \( M \) has a parallel second fundamental form. Then \( M \) is totally geodesic, i.e., the 2nd fundamental form \(\sigma \) of \( M \) is 0. Finally, a 3-dimensional example of almost \(\alpha\)-Kenmotsu manifold is given and studied in details.
0 references
