Diameter of an immersed surface with boundary

DOI10.1016/J.DIFGEO.2014.02.007zbMath1325.53072OpenAlexW1979820498WikidataQ115356328 ScholiaQ115356328MaRDI QIDQ499518

Seong-Hun Paeng

Publication date: 30 September 2015

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2014.02.007

zbMATH Keywords

minimal surfacemean curvatureSobolev inequalityintrinsic diameter

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)

Related Items (3)

Diameter estimate for closed manifolds with positive scalar curvature ⋮ Diameter estimates for submanifolds in manifolds with nonnegative curvature ⋮ Length and speed of a string in a geodesic surface

Cites Work

• Unnamed Item
• Diameter control under Ricci flow
• Relating diameter and mean curvature for submanifolds of Euclidean space
• A first eigenvalue estimate for minimal hypersurfaces
• The inverse mean curvature flow and the Riemannian Penrose inequality
• Proof of the Riemannian Penrose inequality using the positive mass theorem.
• Relating diameter and mean curvature for Riemannian submanifolds
• Sobolev and isoperimetric inequalities for riemannian submanifolds
• The second variation of nonorientable minimal submanifolds
• Sobolev and mean‐value inequalities on generalized submanifolds of Rⁿ

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