Anti-Invariant Riemannian Submersions from Cosymplectic Manifolds
Differential Geometry
2013-09-11 v1
Abstract
We introduce anti-invariant Riemannian submersions from cosymplectic manifolds onto Riemannian manifolds. We survey main results of anti-invariant Riemannian submersions defined on cosymplectic 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. Moreover we give decomposition theorems by using the existence of anti-invariant Riemannian submersions.
Keywords
Cite
@article{arxiv.1302.5108,
title = {Anti-Invariant Riemannian Submersions from Cosymplectic Manifolds},
author = {C. Murathan and I. Küpeli Erken},
journal= {arXiv preprint arXiv:1302.5108},
year = {2013}
}
Comments
arXiv admin note: text overlap with arXiv:1006.0081, arXiv:1006.0076, arXiv:1302.4906 by other authors