Year: 2013
Type: preprint
Abstract: We introduce anti-invariant Riemannian submersions from Sasakian manifolds onto Riemannian manifolds. We survey main results of anti-invariant Riemannian submersions defined on Sasakian manifolds. We investigate necessary and sufficient condition for an anti-invariant Riemannian submersion to be totally geodesic and harmonic. We give examples of anti-invariant submersions such that characteristic vector field ξ is vertical or horizontal.
Source: arXiv (Cornell University)
Authors: Erken, I. Küpeli, Murathan, C.
Institution: Bursa Uludağ Üni̇versi̇tesi̇
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Bursa Uludağ Üniversitesi
OpenAlex ID: W1763166333