İrem Küpeli Erken

ON SLANT RIEMANNIAN SUBMERSIONS FOR COSYMPLECTIC MANIFOLDS

In this paper we introduce slant Riemannian submersions from cosymplectic manifolds onto Riemannian manifolds. We obtain some results on slant Riemannian submersions of a cosymplectic manifolds. We also give examples and inequalities between the scalar curvature and squared mean curvature of fibres of such slant submersions according to characteristic vector field is vertical or horizontal.

A study of three-dimensional paracontact (κ̃,μ̃,ν̃)-spaces

This paper is a study of three-dimensional paracontact metric (κ,μ,ν)-manifolds. Three-dimensional paracontact metric manifolds whose Reeb vector field ξ is harmonic are characterized. We focus on some curvature properties by considering the class of paracontact metric (κ,μ,ν)-manifolds under a condition which is given at Definition 3.1. We study properties of such manifolds according to the cases κ > −1, κ = −1, κ < −1 and construct new examples of such manifolds for each case. We also show the existence of paracontact metric (−1,μ≠0,ν≠0) spaces with dimension greater than 3, such that h2 = 0 but h≠0.