Some constraints on Frobenius manifolds with a tt*-structure

Speaker: Prof. Lin Jiezhu, Guangzhou University

Time: 10:10-12:00 am, April 25th(Thursday), 2013

Abstract:
We give a necessary and sufficient condition for a Frobenius manifold to be a CDV-structure. We show that there exists a positive definite CDV-structure on any semi-simple Frobenius manifold. We also compare the three natural connections on a CDV-structure and conclude that the underlying Hermitian manifold of a non-trivial CDV-structure is not a Kähler manifold. Finally, we compute the harmonic potential of a harmonic Frobenius manifold