A Classification of a Totally Umbilical Slant Submanifold of Cosymplectic Manifolds
oleh: Siraj Uddin, Cenap Ozel, Viqar Azam Khan
| Format: | Article |
|---|---|
| Diterbitkan: | Wiley 2012-01-01 |
Deskripsi
We study slant submanifolds of a cosymplectic manifold. It is shown that a totally umbilical slant submanifold 𝑀 of a cosymplectic manifold 𝑀 is either an anti-invariant submanifold or a 1−dimensional submanifold. We show that every totally umbilical proper slant submanifold of a cosymplectic manifold is totally geodesic.