学术报告
Volume bounds of the Ricci flow on closed manifolds - Chih-Wei Chen 陳志偉 (National Center for Theoretical Sciences)
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时间： 2017-06-30
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题目：Volume bounds of the Ricci flow on closed manifolds
报告人: Chih-Wei Chen 陳志偉 (National Center for Theoretical Sciences)
Abstract: Let g(t)t in [0,T] be the solution of the Ricci flow on a closed Riemannian manifold Mn with n ≥ 3. Without any assumption, we derive lower volume bounds of the form Volg(t) ≥ C(T-t)n/2, where C depends only on n, T and the Sobolev constants A and B of (M,g(0)). This estimate is sharp in the sense that it is achieved by the shrinking unit sphere with scalar curvature n(n-1), and Sobolev constants A = 4ωn-2/n/n(n-2), B = (n-1)ωn-2/n/(n-2).
时间：2017年6月30日（周五）10：30-11:30
地点：首师大新教二楼 527教室
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