Anti-Invariant Riemannian Submersions from Cosymplectic Manifolds

Abstract

We introduce anti-invariant Riemannian submersions from cosymplectic manifolds onto Riemannian manifolds. We survey main results of anti-invariant Riemannian submersions defined on cosymplectic 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. Moreover we give decomposition theorems by using the existence of anti-invariant Riemannian submersions.

arXiv admin note: text overlap with arXiv:1006.0081, arXiv:1006.0076, arXiv:1302.4906 by other authors

References in corpus (1)

• Slant submersions from almost Hermitian manifolds

Cited by in corpus (2)

• On Lagrangian submersions
• Anti-invariant Riemannian Submersions