Curvatures on Vaisman solvmanifolds

Abstract

Kodaira-Thurston manifold is a compact nilmanifold, and it has a Vaisman structure. The purpose in this paper is to calculate the sectional curvature and the Ricci tensor on Kodaira-Thurston manifold. Moreover, we consider curvatures and the Ricci tensor on a compact Vaisman solvmanifold.