English

Slant submersions from almost Hermitian manifolds

Differential Geometry 2010-06-02 v1

Abstract

We introduce slant submersions from almost Hermitian manifolds onto Riemannian manifolds. We give examples, investigate the geometry of foliations which are arisen from the definition of a Riemannian submersion and check the harmonicity of such submersions. We also find necessary and sufficient conditions for a slant submersion to be totally geodesic. Moreover, we obtain a decomposition theorem for the total manifold of such submersions.

Keywords

Cite

@article{arxiv.1006.0081,
  title  = {Slant submersions from almost Hermitian manifolds},
  author = {Bayram Sahin},
  journal= {arXiv preprint arXiv:1006.0081},
  year   = {2010}
}

Comments

10 pages

R2 v1 2026-06-21T15:30:21.051Z