学术报告

Spiral minimal products

题目:Spiral minimal products    

报告人:张永胜教授(350vip葡京新集团登入网址)  

摘要:We discover a structure -- spiral minimal product (SMP) among minimal submanifolds in unit Euclidean spheres. For a pair of C-totally real minimal submanifolds f1 and f2, their SMP is given by G(t,x,y)=(γ_1(t)f_1(x), γ_2(t)f_2(y)) where γ=(γ_1, γ_2) is some curve in the unit sphere of C^2 to make G minimal. SMP solutions form a family in parameters C_1 and C_2 where C_1 is the ratio of angular momenta of γ. With C_1=-1, SMP can descend to a nontrivial structure, generalized Delaunay construction, in the category of embedded minimal Lagrangian submanifolds in complex projective spaces. Meanwhile, numerous new special Lagrangian cones in complex Euclidean spaces can be gained. This talk is based on a joint work with Professor Haizhong Li.

报告时间:2024823日(周五)上午10:30-11:30

报告地点:教二楼613

联系人:戎小春 胥世成

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