On non-invariant hypersurfaces of a nearly hyperbolic Sasakian manifold
| Autor: | Shadab Ahmad Khan, Mobin Ahmad, Toukeer Khan |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Pure mathematics
General Mathematics Second fundamental form Mathematical analysis Structure (category theory) Hyperbolic manifold Mathematics::Geometric Topology Sasakian manifold Hypersurface Totally geodesic Mathematics::Differential Geometry Invariant (mathematics) Mathematics::Symplectic Geometry Mathematics |
| Zdroj: | International Journal of Mathematics. 28:1750064 |
| ISSN: | 1793-6519 0129-167X |
| Popis: | We consider a nearly hyperbolic Sasakian manifold equipped with [Formula: see text]-structure and study non-invariant hypersurface of a nearly hyperbolic Sasakian manifold equipped with [Formula: see text]-structure. We obtain some properties of nearly hyperbolic Sasakian manifold equipped with [Formula: see text]-structure. Further, we find the necessary and sufficient conditions for totally umbilical non-invariant hypersurface with [Formula: see text]-structure of nearly hyperbolic Sasakian manifold to be totally geodesic. We also calculate the second fundamental form of a non-invariant hypersurface of a nearly hyperbolic Sasakian manifold with [Formula: see text]-structure under the condition when f is parallel. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|