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arXiv · 2111.14995

Nonplanar minimal spheres in ellipsoids of revolution

Renato G. Bettiol·Paolo Piccione
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Abstract

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.

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Renato G. Bettiol, Paolo Piccione. 2025-11-03. Nonplanar minimal spheres in ellipsoids of revolution. https://doi.org/10.2422/2036-2145.202309_018

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