Second fundamental forms arising from Minimal immersions in 3-manifolds
数学专题报告
报告题目(Title):Second fundamental forms arising from Minimal immersions in 3-manifolds
报告人(Speaker):Marcello Lucia(College of Staten Island, CUNY)
地点(Place):26日 后主楼1124;28日 后主楼1223;31日 后主楼1124
时间(Time):2024年12月26,28,31日, 14:30-16:30
邀请人(Inviter):唐仲伟
报告摘要
The second fundamental form arising from an oriented minimal immersion of a closed surface in a space form satisfies several constraints. One of them is provided by the Gauss- Codazzi equation that can be rephrased as a semilinear problem on the surface.
We will discuss some results for these types of nonlinear problems and analyze the behaviors of the solutions when the hyperbolic norm of the second fundamental form is small.