Renato G. Bettiol, Paolo Piccione
Published 2021-11-29, updated 2022-07-21Version 2
We use global bifurcation techniques to establish the existence of arbitrarily many geometrically distinct nonplanar embedded smooth minimal 2-spheres in sufficiently elongated 3-dimensional ellipsoids of revolution. More precisely, we quantify the growth rate of the number of such minimal spheres, and describe their asymptotic behavior as the ellipsoids converge to a cylinder.
Comments: LaTeX2e, 32 pages, 4 figures, revised version
Families of conformal tori of revolution in the 3-sphere
Energy of tori of revolution
CMC surfaces of revolution, Elliptic curves, and Weierstrass-$\wp$ functions
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