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Speaker:

Michaela Pilca
Affiliation:

Universität Regensburg
Date:

Tue, 2017-04-04 11:00 - 11:30
Location:

MPIM Lecture Hall
Parent event:

Young Women in Geometry A Hermitian metric on a complex manifold is locally conformally Kähler

if it is conformal to a Kähler metric in the neighbourhood of each point.

In this talk will be given the classification of the possible holonomy groups

of such metrics on compact manifolds. As a by-product, we present the geometric

description of conformal classes on compact manifolds containing two non-homothetic

Kähler metrics - necessarily with respect to non-conjugate complex structures.

The talk is based on joint work with Farid Madani and Andrei Moroianu, which is

available on arXiv: https://arxiv.org/abs/1511.09212.

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