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:
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2006 | |
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Center of Mathematical Sciences at Zhejiang University | ||
学术演讲 | ||
The title of the second talk will be: The Kaehler hermitian scalar 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. | ||
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