Conformal anti-invariant $\xi^\perp-$submersions
Differential Geometry
2017-01-26 v1
Abstract
As a generalization of anti-invariant Riemannian submersions, we introduce conformal anti-invariant submersions from almost contact metric manifolds onto Riemannian manifolds. We 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 and harmonic, respectively. Moreover, we show that there are certain product structures on the total space of a conformal anti-invariant submersion.
Keywords
Cite
@article{arxiv.1701.05117,
title = {Conformal anti-invariant $\xi^\perp-$submersions},
author = {Mehmet Akif Akyol and Yılmaz Gündüzalp},
journal= {arXiv preprint arXiv:1701.05117},
year = {2017}
}
Comments
21 pages. arXiv admin note: substantial text overlap with arXiv:1504.05757, arXiv:1505.07317; text overlap with arXiv:1504.04180, arXiv:1311.1676 by other authors