Nonplanar minimal spheres in ellipsoids of revolution
Autor: | Bettiol, Renato G., Piccione, Paolo |
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Rok vydání: | 2021 |
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Druh dokumentu: | Working Paper |
DOI: | 10.2422/2036-2145.202309_018 |
Popis: | 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. Comment: LaTeX2e, 32 pages, 4 figures, final (revised) version. To appear in Ann. Sc. Norm. Super. Pisa Cl. Sci |
Databáze: | arXiv |
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