Bifurcation of constant mean curvature tori in Euclidean spheres

Details Bifurcation of constant mean curvature tori in Euclidean spheres Bifurcation of constant mean curvature tori in Euclidean spheres

2009-05-13

arxiv.org/abs/0905.2128v2

Mathematics

Differential Geometry

New version. November 2010

Scientific paper

We use bifurcation theory to show the existence of infinite sequences
isometric embeddings of tori with constant mean curvature (CMC) in Euclidean
spheres that are not isometrically congruent to the CMC Clifford tori, and
accumulating at some CMC Clifford torus.

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