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- Title
Semi-slant Riemannian maps from almost contact metric manifolds into Riemannian manifolds.
- Authors
Prasad, Rajendra; Kumar, Sushil
- Abstract
Firstly, a generalization of Riemannian submersions, slant submersions and semi-slant submer- sions, we introduce semi-slant Riemannian maps from almost contact metric manifolds onto Riemannian manifolds. In this paper, we obtain some results on such maps by taking the vertical structure vector field. Among them, we study integrability of distributions and the geometry of foliations. Further, we find the necessary and sufficient conditions for semi-slant Riemannian maps to be harmonic and totally geodesic. We, also investigate some decomposi- tion theorems and provide some examples to show the existence of the maps.
- Subjects
RIEMANNIAN manifolds; RIEMANNIAN metric; HARMONIC maps; GEODESICS; RIEMANNIAN submersions; FOLIATIONS (Mathematics); DECOMPOSITION method
- Publication
Tbilisi Mathematical Journal, 2018, Vol 11, Issue 4, p19
- ISSN
1875-158X
- Publication type
Article
- DOI
10.32513/tbilisi/1546570882