Prof.Paul Gauduchon:The Kaehler hermitian scalar curvature as a momentum map 2:00-4:00 pm

2006-07-28 来源:数学科学研究中心

活动地点:

活动类型:学术报告

主讲人:Prof.Paul Gauduchon

活动时间:

活动内容:

2006  
   
Center of Mathematical Sciences
 at Zhejiang University
 学术演讲 

The title of the second talk will be: The Kaehler hermitian scalar
curvature as a momentum map (I gave a similar talk in Osaka in
October 2005).

Abstract: The riemannian scalar curvature of a Kaehler metric --- more generally, the hermitian scalar curvature of an almost-Kaehler metric--- can be interpreted as a momentum map in the space of all (almost) complex structures compatible with a fixed symplectic form relatively to the action ofthe group of (hamiltonian) symplectomorphisms. This fact --- first observed by A. Fujiki in the integrable (Kaehler) case and by S. K. Donaldson in the general almost-Kaehler case --- can be deduced from the interpretation of the (modified) Mabuchi energy as a Kaehler potential.