Anti-Invariant Riemannian Submersions from Sasakian Manifolds
Differential Geometry
2013-02-21 v1
Abstract
We introduce anti-invariant Riemannian submersions from Sasakian manifolds onto Riemannian manifolds. We survey main results of anti-invariant Riemannian submersions defined on Sasakian manifolds. We investigate necessary and sufficient condition for an anti-invariant Riemannian submersion to be totally geodesic and harmonic. We give examples of anti-invariant submersions such that characteristic vector field {\xi} is vertical or horizontal.
Keywords
Cite
@article{arxiv.1302.4906,
title = {Anti-Invariant Riemannian Submersions from Sasakian Manifolds},
author = {I. Küpeli Erken and C. Murathan},
journal= {arXiv preprint arXiv:1302.4906},
year = {2013}
}
Comments
arXiv admin note: text overlap with arXiv:1006.0081 by other authors