The relative volume growth of minimal submanifolds

DOI10.1007/BF02638388zbMath1024.53042WikidataQ61978221 ScholiaQ61978221MaRDI QIDQ1865729

Vicente Palmer, Steen Markvorsen

Publication date: 27 March 2003

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

minimal submanifoldvolume growthspace formsectional curvatures

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (4)

Volume growth, number of ends, and the topology of a complete submanifold ⋮ The Chern-Osserman inequality for minimal surfaces in a Cartan-Hadamard manifold with strictly negative sectional curvatures ⋮ A lower bound for the area of plateau foams ⋮ Volume growth of submanifolds and the Cheeger isoperimetric constant

Cites Work

• Unnamed Item
• Complete minimal varieties in hyperbolic space
• On the mean exit time from a minimal submanifold
• Isoperimetric inequalities on minimal submanifolds of space forms
• On the Heat Kernel Comparison Theorems for Minimal Submanifolds
• Volume of a small Extrinsic Ball in a Submanifold
• An Estimate for the Curvature of Bounded Submanifolds
• The isoperimetric inequality for minimal surfaces in a Riemannian manifold
• Isoperimetric Inequalities for Extrinsic Balls in Minimal Submanifolds and their Applications
• Generalized isoperimetric inequalities for extrinsic balls in minimal submanifolds

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