中科院数学与系统科学研究院
数学研究所
几何分析研讨班
报告人：潘淑婧 (中国科学技术大学)
题 目：Curve shortening flow in a 3-dimensional Sasaki manifold (I)
时 间：2021.03.05（星期五）, 09:30-11:30
地 点：腾讯会议ID 523 8743 9604
摘 要：In this talk, we introduce a curve shortening flow in a 3-dimensional pseudohermitian manifold with vanishing torsion. The flow preserves the Legendrian condition and decreases the length of curves. The stationary solution of our flow is a Legendrian geodesic. We classify the singularity and prove some convergence results. Moreover, we study the flow in Heisenberg group especially with Type I singularity.
报告人：潘淑婧 (中国科学技术大学)
题 目：Curve shortening flow in a 3-dimensional Sasaki manifold (II)
时 间：2021.03.09（星期二）, 09:30-11:30
地 点：腾讯会议ID 518 7997 8794
摘 要：In this talk, we introduce a curve shortening flow in a 3-dimensional pseudohermitian manifold with vanishing torsion. The flow preserves the Legendrian condition and decreases the length of curves. The stationary solution of our flow is a Legendrian geodesic. We classify the singularity and prove some convergence results. Moreover, we study the flow in Heisenberg group especially with Type I singularity.
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