Bifurcation of constant mean curvature tori in Euclidean spheres

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.

arXiv commentNew version. November 2010

References in corpus (2)

• A characterization of quadric constant mean curvature hypersurfaces of spheres
• On the moduli of constant mean curvature cylinders of finite type in the 3-sphere

Cited by in corpus (1)

• Stability index jump for cmc hypersurfaces of spheres