Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Cohomologies and special metrics for non-Kähler manifolds

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

created by daniele on 01 Nov 2015
modified on 10 Nov 2015

11 nov 2015 -- 16:00

Lunt 105, Northwestern University, Evanston

Informal Geometric Analysis Seminar at Northwestern University

Abstract.

We present some results on Bott-Chern cohomology of compact complex manifolds and on the existence of special metrics on non-Kähler manifolds. The Chern-Ricci form of a Hermitian metric representing a class in Bott-Chern cohomology, special geometry is in a sense related to cohomological properties. More precisely, we will investigate an analogue of the Yamabe problem for Hermitian metrics with Chern connection. (Joint works with Adriano Tomassini, Simone Calamai, Cristiano Spotti, Nicoletta Tardini.)

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