## Abstract and Applied Analysis

### A Classification of a Totally Umbilical Slant Submanifold of Cosymplectic Manifolds

#### Abstract

We study slant submanifolds of a cosymplectic manifold. It is shown that a totally umbilical slant submanifold $M$ of a cosymplectic manifold $\stackrel{̅}{M}$ 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.

#### Article information

Source
Abstr. Appl. Anal., Volume 2012 (2012), Article ID 716967, 8 pages.

Dates
First available in Project Euclid: 14 December 2012

https://projecteuclid.org/euclid.aaa/1355495649

Digital Object Identifier
doi:10.1155/2012/716967

Mathematical Reviews number (MathSciNet)
MR2889093

Zentralblatt MATH identifier
1237.53023

#### Citation

Uddin, Siraj; Ozel, Cenap; Khan, Viqar Azam. A Classification of a Totally Umbilical Slant Submanifold of Cosymplectic Manifolds. Abstr. Appl. Anal. 2012 (2012), Article ID 716967, 8 pages. doi:10.1155/2012/716967. https://projecteuclid.org/euclid.aaa/1355495649

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