Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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First Joint Meeting Brazil - Italy in Mathematics

Cohomological and metric properties of non-Kähler manifolds

Daniele Angella (Dipartimento di Matematica e Informatica "Ulisse Dini", Università di Firenze)

created by daniele on 05 Sep 2016

2 sep 2016 -- 11:15

IMPA, Rio de Janeiro, Brazil


We study cohomological properties of compact non-K\"ahler manifolds, and we investigate the existence of special metrics. For example, we can consider the existence of Hermitian metrics in a conformal class with the property of having constant scalar curvature with respect to the Chern connection. (Note that the Chern Ricci form defines a class in Bott-Chern cohomology.) The problem can be solved at least in the case of non-negative Kodaira dimension.

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