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paper

Bifurcation of constant mean curvature tori in Euclidean spheres

arXiv:0905.2128

Abstract

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.

New version. November 2010