On conformal transformations of metrics of Riemannian paracomplex manifolds

Abstract

A 2n-dimensional differentiable manifold M with -structure is a Riemannian almost para­complex manifold. In the present paper, we consider con­formal transformations of metrics of Riemannian para­complex manifolds. In particular, a number of vanishing theorems for such transformations are proved using the Bochner technique.

Keywords

• almost paracomplex manifold
• conformal transformations
• bochner technique
• mixed scalar curvature