Conformal anti-invariant submersions from almost Hermitian manifolds
Differential Geometry
2015-04-23 v1
Abstract
We introduce conformal anti-invariant submersions from almost Hermitian manifolds onto Riemannian manifolds. We give examples, investigate the geometry of foliations which are arisen from the definition of a conformal submersion and find necessary and sufficient conditions for a conformal anti-invariant submersion to be totally geodesic. We also check the harmonicity of such submersions and show that the total space has certain product structures. Moreover, we obtain curvature relations between the base space and the total space, and find geometric implications of these relations.
Keywords
Cite
@article{arxiv.1504.05757,
title = {Conformal anti-invariant submersions from almost Hermitian manifolds},
author = {Mehmet Akif Akyol and Bayram Sahin},
journal= {arXiv preprint arXiv:1504.05757},
year = {2015}
}
Comments
41 pages, Submitted. arXiv admin note: text overlap with arXiv:1302.5108 by other authors