1. Slant and pseudo-slant submanifolds in ${\rm LCS}$-manifolds
- Creator:
- Atçeken, Mehmet and Kumar Hui, Shyamal
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- slant submanifold, pseudo-slant submanifold, and ${\rm LCS}$-manifold
- Language:
- English
- Description:
- We show new results on when a pseudo-slant submanifold is a LCS-manifold. Necessary and sufficient conditions for a submanifold to be pseudo-slant are given. We obtain necessary and sufficient conditions for the integrability of distributions which are involved in the definition of the pseudo-slant submanifold. We characterize the pseudo-slant product and give necessary and sufficient conditions for a pseudo-slant submanifold to be the pseudo-slant product. Also we give an example of a slant submanifold in an LCS-manifold to illustrate the subject.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public