Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Special Hermitian structures on complex manifolds

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

created by daniele on 22 Nov 2017

21 nov 2017 -- 11:00

Milano Bicocca


In the tentative to move from the Kähler to the non-Kähler setting, we consider Hermitian metrics on complex manifolds with special curvature properties andor characterized by cohomological conditions. We study an analogue of the Yamabe problem for Hermitian manifolds: more precisely, we prove the existence of Hermitian metrics having constant scalar curvature with respect to the Chern connection when the expected curvature is non-positive, and we investigate partial results in the positive curvature case. We also focus on locally conformally structures. (Joint work with Simone Calamai, Cristiano Spotti.)

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