Seminari del Dipartimento



Toric locally conformally Kahler manifolds

Nicolina Istrati

31-01-2019 - 14:30
Largo San Leonardo Murialdo,1 - Pal.C - Aula 211


Locally conformally Kahler (LCK) metrics are generalizations  of Kahler metrics in a conformal manner: a metric g is LCK if around  every point of the manifold, g is conformal to a local Kahler metric. The symplectic counterpart of these structures is given by the locally  conformally symplectic (LCS) forms.In the first part of this talk, I will give an introduction to this  class of manifolds and discuss some of their main features. Then I will focus on toric LCS manifolds, which can be defined in analogy  with toric symplectic geometry. I will present a classification result  in the spirit of Delzant’s theorem, after which I will discuss some  metric properties of toric LCK manifolds.
org: VIVIANI Filippo


Copyright© 2014 Dipartimento di Matematica e Fisica