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.
C1 [Lee, Jungchan; Park, JeongHyeong] Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea.
[Sahin, Bayram] Inonu Univ, Dept Math, TR-44280 Malatya, Turkey.
[Song, Dae-Yup] Sunchon Natl Univ, Dept Phys Educ, Jeonnam 540742, South Korea.