On LCK solvmanifolds with a property of Vaisman solvmanifolds

Abstract

The purpose in this paper is to determine a locally conformal Kähler solvmanifold such that the nilradical of the solvable Lie group is constructed by a Heisenberg Lie group.

Keywords

• solvmanifold
• locally conformal kähler structure
• inoue surface
• primary 53c55
• secondary 17b30