Slant Riemannian maps from almost Hermitian manifolds
Differential Geometry
2012-06-19 v1 Mathematical Physics
math.MP
Abstract
As a generalization of holomorphic submersions, anti-invariant submersions and slant submersions, we introduce slant Riemannian maps from almost Hermitian manifolds to Riemannian manifolds. We give examples, obtain the existence conditions of slant Riemannian maps and investigate harmonicity of such maps. We also obtain necessary and sufficient conditions for slant Riemannian maps to be totally geodesic and give a decomposition theorem for the total manifold.
Keywords
Cite
@article{arxiv.1206.3563,
title = {Slant Riemannian maps from almost Hermitian manifolds},
author = {Bayram Sahin},
journal= {arXiv preprint arXiv:1206.3563},
year = {2012}
}
Comments
To appear in Quaestiones Mathematicae, 14 pages. arXiv admin note: text overlap with arXiv:1006.0081, arXiv:1206.3393