Hierarchy structures in finite index CMC surfaces
Meeks III, William H.
Pérez Muñoz, Joaquín
Constant mean curvature
Finite index H-surfaces
Area estimates for constant mean curvature surfaces
Curvature estimates for one-sided stable minimal surfaces
William H. Meeks, III was partially supported by CNPq, Brazil, grant no. 400966/2014-0. Research of both authors was partially supported by MINECO/MICINN/FEDER grant nos. PID2020-117868GB-I00 and CEX2020-001105-M, both funded by MCINN/AEI, and by regional grant no. P18-FR-4049 funded by Junta de Andalucia.
Given epsilon(0) > 0, I is an element of N boolean OR {0} and K 0, H 0 >= 0, let X be a complete Riemannian 3-manifold with injectivity radius Inj(X) = e 0 and with the supremum of absolute sectional curvature at most K-0, and let M (sic) X be a complete immersed surface of constant mean curvature H is an element of [ 0, H-0] with index at most I. For such M (sic) X, we prove a structure theorem which describes how the interesting ambient geometry of the immersion is organized locally around at most I points of M, where the norm of the second fundamental form takes on large local maximum values.
2023-09-19T08:17:45Z
2023-09-19T08:17:45Z
2023-07-26
info:eu-repo/semantics/article
Meeks III, William H. and Pérez, Joaquín. "Hierarchy structures in finite index CMC surfaces" Advances in Calculus of Variations, 2023. [https://doi.org/10.1515/acv-2022-0113]
https://hdl.handle.net/10481/84492
10.1515/acv-2022-0113
eng
http://creativecommons.org/licenses/by/4.0/
info:eu-repo/semantics/openAccess
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