Conformal semi-invariant submersions
Differential Geometry
2015-05-28 v1
Abstract
As a generalization of semi-invariant submersions, we introduce conformal semi-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 show that there are certain product structures on the total space of a conformal semi-invariant submersion. Moreover, we also check the harmonicity of such submersions and find necessary and sufficient conditions of a conformal semi-invariant submersion to be totally geodesic.
Cite
@article{arxiv.1505.07317,
title = {Conformal semi-invariant submersions},
author = {Mehmet Akif Akyol and Bayram Şahin},
journal= {arXiv preprint arXiv:1505.07317},
year = {2015}
}
Comments
14 pages. arXiv admin note: substantial text overlap with arXiv:1504.05757