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发表时间:2019-10-21 阅读次数:232次
报告题目: Construction of Riemannian geometries with prescribed scalar curvature and with monotonous Geroch mass
报 告 人:Dr.István Rácz
报告人所在单位:Wigner RCP, Budapest & University of Warsaw, Warsaw
报告日期:2019-10-21 星期一
报告时间:10:00-11:00
报告地点:光华东主楼1501
  
报告摘要:
Consider a smooth three-dimensional manifold $\Sigma$ that is smoothly foliated by topological two-spheres. Choose a smooth flow such that the integral curves of it intersect the foliating two-spheres precisely once. Assume that a smooth distribution of induced two-metrics on the leaves of the foliation is also chosen such that the area of the leaves is non-decreasing. It is shown then that a large variety of Riemannian three-metrics, with freely specifiable scalar curvature, can be constructed on $\Sigma$ such that the foliation we started with gets to be an inverse mean curvature foliation, the prescribed flow turns out to be a generalized inverse mean curvature flow and the Geroch mass---defined with respect to the foliation---is guaranteed to be non-decreasing.
 
  
本年度学院报告总序号:214

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