The Morse index of the critical catenoid

arxiv: 1609.01485 · v2 · pith:GD7BRCOMnew · submitted 2016-09-06 · 🧮 math.DG

Graham Smith , Detang Zhou This is my paper

classification 🧮 math.DG

keywords catenoidindexmorseballboundarycriticalequalfree

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We show that the rotationally symmetric free boundary minimal catenoid in the unit ball in $\Bbb{R}^3$ has Morse index equal to $4$.

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