Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Special Hermitian metrics on non-Kähler manifolds

Special Hermitian metrics characterized by relationships between scalar curvatures

Mike Lock

created by daniele on 28 Dec 2015
modified on 31 Mar 2016

22 apr 2016 -- 10:30

Aula Tricerri, DiMaI, Firenze

Abstract.

On a Kahler manifold there is a clear connection between the complex geometry and underlying Riemannian geometry, which can be used to characterize the Kahler condition. While such a link is not as clear in the non-Kahler setting, one can seek to understand these characterizations as specific instances of a more general type. I will address such questions from the perspective of relationships between the Chern and Riemannian scalar curvatures. This is joint work with Michael Dabkowski.

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