Willmore Minmax Surfaces and the Cost of the Sphere Eversion

2015/12/30 by Tristan Rivière, Rivière, Tristan · 1 citation
Mathematics · #35J35 #35J48 #49Q10 #53A05 #53A30 #58E15 #58E30 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT) #math.AP #math.DG #math.GT #msc:35J35 #msc:35J48 #msc:49Q10 #msc:53A05 #msc:53A30 #msc:58E15 #msc:58E30

paper · pdf · doi:10.48550/arxiv.1512.08918

arxiv created 2015/12/30 · arxiv updated 2015/12/31

Abstract

We develop a general Minmax procedure in Euclidian spaces for constructing Willmore surfaces of non zero indices. We implement this procedure to the Willmore Minmax Sphere Eversion in the 3 dimensional euclidian space. We compute the cost of the Sphere eversion in terms of Willmore energies of Willmore Spheres in \R³

Cited by

• The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow

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