Isabel Dotti Miatello

Rigidity of invariant complex structures

A Kahler solvmanifold is a connected Kahler manifold (M, j, ) admitting a transitive solvable group of automorphisms. In this paper we study the isomorphism classes of Kahler structures (j, ) turning M into a Kahler solvmanifold. In the case when (M, j, ) is irreducible and simply connected we show that any Kahler structure on M, having the same group of automorphisms, is isomorphic to (j, )