English

Semi-slant Riemannian maps

Differential Geometry 2012-09-06 v2

Abstract

As a generalization of slant submersions (Sahin, 2011), semi-slant submersions (Park and Prasad), and slant Riemannian maps (Sahin), we define the notion of semi-slant Riemannian maps from almost Hermitian manifolds to Riemannian manifolds. We study the integrability of distributions, the geometry of fibers, the harmonicity of such maps, etc. We also find a condition for such maps to be totally geodesic and investigate some decomposition theorems. Moreover, we give examples.

Keywords

Cite

@article{arxiv.1208.5362,
  title  = {Semi-slant Riemannian maps},
  author = {Kwang-Soon Park},
  journal= {arXiv preprint arXiv:1208.5362},
  year   = {2012}
}

Comments

12 pages

R2 v1 2026-06-21T21:55:42.978Z