学术报告
Embedded Willmore tori in three-manifolds with small area constraint
题目：Embedded Willmore tori in three-manifolds with small area constraint
报告人： Prof. Andrea Malchiodi, Scuola Normale Superiore, Italy
摘要: While there are lots of contributions on Willmore surfaces in the three-dimensional Euclidean space, the literature on curved manifolds is still relatively limited. One of the main aspects of the Willmore problem is the loss of compactness under conformal transformations. We construct embedded Willmore tori in manifolds with a small area constraint by analyzing how the Willmore energy under the action of the M?bius group is affected by the curvature of the ambient manifold. The loss of compactness is then taken care of using minimisation arguments or Morse theory.
时间：4月12日（周二）下午4:00-5:00
地点：首都师大北一区文科楼404教室
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