Slant submersions from almost product Riemannian manifolds

Authors

YILMAZ GÜNDÜZALP

DOI

10.3906/mat-1205-64

Abstract

In this paper, we define the concept of almost product Riemannian submersion between almost product Riemannian manifolds. We introduce slant submersions from almost product Riemannian manifolds onto Riemannian manifolds. We give examples and investigate the geometry of foliations that arise from the definition of a Riemannian submersion. We also find necessary and sufficient conditions for a slant submersion to be totally geodesic.

Keywords

Riemannian submersion, almost product Riemannian submersion, almost product Riemannian manifold, slant submersion

First Page

863

Last Page

873

Recommended Citation

GÜNDÜZALP, YILMAZ (2013) "Slant submersions from almost product Riemannian manifolds," Turkish Journal of Mathematics: Vol. 37: No. 5, Article 13. https://doi.org/10.3906/mat-1205-64
Available at: https://journals.tubitak.gov.tr/math/vol37/iss5/13