A study on the semi-conformal deformation of Berger-type metric

Semi-conformal deformation of Berger-type metric ...

Abstract

Let $(M^{2m},\varphi,g)$ be an anti-paraK\"{a}hler. In this paper, we introduce a new class of metric on $(M^{2m},\varphi,g)$, obtained by a non-conformal deformation of the metric $g$. First we investigate the Levi-Civita connection of this metric. Secondly we characterize the Riemannian curvature, the sectional curvature and the scalar curvature. In the last section we characterizes some class of harmonic maps.