Anti-Invariant Riemannian Submersions from Sasakian Manifolds

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.

arXiv admin note: text overlap with arXiv:1006.0081 by other authors

References in corpus (1)

• Slant submersions from almost Hermitian manifolds

Cited by in corpus (1)

• Anti-holomorphic semi-invariant submersions from Kählerian manifolds