EINSTEIN CONDITIONS FOR THE BASE SPACE OF ANTI-INVARIANT RIEMANNIAN SUBMERSIONS AND CLAIRAUT SUBMERSIONS
Articles > Article · 2015
Authors: Jungchan LEE, JeongHyeong PARK, Bayram ŞAHİN, Dae-Yup Song
TAIWANESE JOURNAL OF MATHEMATICS, Journal Indexed in SCI Expanded, International, 2015, vol 19, pp 1145-1160
DOI: 10.11650/tjm.19.2015.5283
Summary
In this paper, we study the geometry of anti-invariant Riemannian submersions from a Kahler manifold onto a Riemannian manifold. We first determine the base space when the total space of an anti-invariant Riemannian submersion is Einstein and then we investigate new conditions for anti-invariant Riemannian submersions to be Clairaut submersions. We also focus on the geometry of Clairaut anti-invariant submersions.