Anti-invariant Riemannian submersions from Sasakian manifolds with totally umbilical fibers
Articles > Article · 2021
Authors: Gizem Koprulu, Bayram ŞAHİN
International Journal of Geometric Methods in Modern Physics, Journal Indexed in SCI Expanded, International, WoS, 2021, vol 18, pp 2150169-2150169
DOI: 10.1142/s0219887821501693
Summary
The purpose of this paper is to study anti-invariant Riemannian submersions from Sasakian manifolds onto Riemannian manifolds such that characteristic vector field is vertical or horizontal vector field. We first show that any anti-invariant Riemannian submersions from Sasakian manifold is not a Riemannian submersion with totally umbilical fiber. Then we introduce anti-invariant Riemannian submersions from Sasakian manifolds with totally contact umbilical fibers. We investigate the totally contact geodesicity of fibers of such submersions. Moreover, under this condition, we investigate Ricci curvature of anti-invariant Riemannian submersions from Sasakian manifolds onto Riemannian manifolds.