Gap results for free boundary CMC surfaces in radially symmetric conformally Euclidean three-balls

DOI10.1007/S12220-020-00565-1zbMath1477.53006OpenAlexW3109396760WikidataQ114221043 ScholiaQ114221043MaRDI QIDQ2050612

Edno Pereira, Ezequiel R. Barbosa, M. G. C. Andrade

Publication date: 31 August 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-020-00565-1

zbMATH Keywords

free boundaryconstant mean curvature surfacesgap theoremconformally Euclidean spaces

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Global Riemannian geometry, including pinching (53C20) Optimization of shapes other than minimal surfaces (49Q10)

Related Items (1)

Gap phenomena for constant mean curvature surfaces

Cites Work

• Unnamed Item
• Sharp eigenvalue bounds and minimal surfaces in the ball
• Stationary partitioning of convex bodies
• Eigenfunctions and nodal sets
• On stability of capillary surfaces in a ball
• Free boundary minimal surfaces in the unit 3-ball
• A gap theorem for free boundary minimal surfaces in geodesic balls of hyperbolic space and hemisphere
• Killing fields, mean curvature, translation maps
• A gap theorem for free boundary minimal surfaces in the three-ball
• Genus bounds for min-max minimal surfaces
• Constant Mean Curvature Surfaces with Boundary

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