Details

Autor(en) / Beteiligte

• Streets, Jeffrey
• Tian, Gang

Titel

A Parabolic Flow of Pluriclosed Metrics

Ist Teil von

• International mathematics research notices, 2010-01, Vol.2010 (16), p.3101-3133

Ort / Verlag

Oxford University Press

Erscheinungsjahr

2010

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• We define a parabolic flow of pluriclosed metrics. This flow is of the same family introduced by the authors in [15]. We study the relationship of the existence of the flow and associated static metrics to topological information on the underlying complex manifold. Solutions to the static equation are automatically Hermitian-symplectic, a condition we define herein. These static metrics are classified on K3 surfaces, complex toroidal surfaces, nonminimal Hopf surfaces, surfaces of general type, and class VII+ surfaces. To finish, we discuss how the flow may potentially be used to study the topology of class VII+ surfaces.