Anti-invariant Riemannian submersions from a locally Riemannian product manifold to any Riemannian manifold

Abstract

In this paper, we define and study anti-invariant Riemannian submersions from a locally Riemannian product manifold onto a Riemannian manifold. We investigate the geometric properties of distributions which are involved from the definition of an anti-invariant Riemannian submersions in locally Riemannian product manifolds.