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arxiv: 0905.2128 · v2 · pith:PS5OMDKEnew · submitted 2009-05-13 · 🧮 math.DG

Bifurcation of constant mean curvature tori in Euclidean spheres

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keywords toribifurcationcliffordconstantcurvatureeuclideanmeanspheres
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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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