1. Point-wise slant submanifolds in almost contact geometry
- Author
-
Mohammad Bagher Kazemi Balgeshir
- Subjects
Sasakian manifold,point-wise slant submanifold ,General Mathematics ,Contact geometry ,010102 general mathematics ,Mathematical analysis ,Mathematics::History and Overview ,Submanifold ,01 natural sciences ,Manifold ,Computer Science::Computers and Society ,010101 applied mathematics ,Sasakian manifold ,Computer Science::Computer Vision and Pattern Recognition ,Point (geometry) ,Mathematics::Differential Geometry ,0101 mathematics ,Mathematics::Symplectic Geometry ,Mathematics - Abstract
In this paper, we introduce point-wise slant submanifolds of almost contact and almost contact 3-structure manifolds. We characterize them, give some examples, and obtain necessary and sufficient conditions for a point-wise slant submanifold of a 3-Sasakian manifold to be a slant submanifold. Moreover, we show that there exist no proper Sasakian point-wise 3-slant submanifolds.
- Published
- 2016