Twisted balanced metrics

Julien Keller (1)

1 LATP - Laboratoire d'Analyse, Topologie, Probabilités

We introduce the notion of twisted balanced metrics. These metrics are induced from specific projective embeddings and can be understood as zeros of a certain moment map. We prove that on a polarized manifold, twisted constant scalar curvature metrics are limits of twisted balanced metrics, extending a result of S.K. Donaldson and T. Mabuchi.

Mots clés: balanced metrics; twisted balanced metrics; projective manifold; constant scalar curvature; Kahler metric

Domaines: Géométrie différentielle [math.DG]; Variables complexes [math.CV]

Julien Keller. Twisted balanced metrics. Altos B. Canterra. Lie Groups : New research, Novapublishers, pp.15, 2009, 978-1-60692-389-4. ⟨hal-00333739⟩