Generic $xi^{perp}$-Riemannian Submersions

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

Hacettepe Journal of Mathematics and Statistics
Volume:51 Issue:2
Generic $xi^{perp}$-Riemannian Submersions

Generic $xi^{perp}$-Riemannian Submersions

Pages : 390-403

View : 65 | Download : 11

Publication Date : 2022-04-01

Article Type : Research Paper

Abstract :As a generalization of semi-invariant $\xi ^{\perp }$-Riemannian submersions, we introduce the generic $\xi ^{\perp }$- Riemannian submersions. We focus on the generic $\xi ^{\perp }$-Riemannian submersions for the Sasakian manifolds with examples and investigate the geometry of foliations. Also, necessary and sufficient conditions for the base manifold to be a local product manifold are obtained and new conditions for totally geodesicity are established. Furthermore, curvature properties of distributions for a generic $\xi ^{\perp }$-Riemannian submersion from Sasakian space forms are obtained and we prove that if the distributions, which define a generic $\xi ^{\perp }$-Riemannian submersion are totally geodesic, then they are Einstein.
Keywords : Riemannian submersion, Sasakian manifolds, second fundamental form of a map, Einstein manifold

ORIGINAL ARTICLE URL

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.