날짜 : 2023-06-20 00:29

주제 : Capillary minimal annuli in

Free-BoundaryCritical-Catenoid Geometry

Abstract

We look into recent results of Fernandez, Hauwirth and Mirain this talk. They proved the existence of embedded capillary minimal annuli and immered free boundary minimal annuli in the unit ball in . Along with his result, we discuss the critical catenoid conjecture.

내용

Hopf’s differential Gives a strong rigidity result.

Nitsche prosed

Immersed Introduction to Free Boundary Minimal Surface is critical catenoid

Fraser-Li conjecture

Immersed to embedded

Steklov eigenvalue method

Steklov eigenvalue

Steklov eigenvalue method

Sharp eigenvalue bounds and minimal surfaces in the ball

Immersed case

Holomorphic method

Free boundary minimal annuli immersed in the unit ball.pdf

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