Asymptotic analysis of solutions for a Gauss equation
数学专题报告
报告题目(Title)：Asymptotic analysis of solutions for a Gauss equation
报告人(Speaker)：Marcello Lucia（College of Staten Island, CUNY）
地点(Place)：后主楼1220
时间(Time)：2025年7月8日 14:30-15:30
邀请人(Inviter)：唐仲伟
报告摘要
The first and second fundamental forms arising from a minimal immersion of a closed oriented surface in a space form must satisfy a compatibility condition that is given by the Gauss equation. In fact, from any solution to this equation, one can construct a minimal immersion of the surface in some space form.
In this talk I will discuss the asymptotic behavior of the solutions when the second fundamental form is small. A particular attention will be given to the case of a minimal immersion in a hyperbolic 3-manifold.
