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Slant Riemannian maps from an almost contact manifold
- Source :
- Filomat. 31:3999-4007
- Publication Year :
- 2017
- Publisher :
- National Library of Serbia, 2017.
-
Abstract
- In the present paper, we introduce slant Riemannian maps from an almost contact manifold to Riemannian manifolds. We obtain the existence condition of slant Riemannian maps from an almost contact manifold to Riemannian manifolds. Moreover, we find the necessary and sufficient condition for slant Riemannian map to be totally geodesic and investigate the harmonicity of slant Riemannian maps from Sasakian manifold to Riemannian manifolds. Finally, we obtain a decomposition theorem for the total manifolds and also provide some examples of such maps.
- Subjects :
- Riemannian submersion
General Mathematics
Mathematics::History and Overview
Mathematical analysis
Fundamental theorem of Riemannian geometry
Riemannian geometry
Mathematics::Geometric Topology
Pseudo-Riemannian manifold
Sasakian manifold
symbols.namesake
Computer Science::Computer Vision and Pattern Recognition
symbols
Hermitian manifold
Mathematics::Differential Geometry
Exponential map (Riemannian geometry)
Mathematics::Symplectic Geometry
Scalar curvature
Mathematics
Subjects
Details
- ISSN :
- 24060933 and 03545180
- Volume :
- 31
- Database :
- OpenAIRE
- Journal :
- Filomat
- Accession number :
- edsair.doi...........dd4c227a6da9331b4516de5719cd64f6
- Full Text :
- https://doi.org/10.2298/fil1713999p