Chern-Osserman inequality for minimal surfaces in 𝐇ⁿ

DOI10.1090/S0002-9939-99-05334-4zbMath0955.53036OpenAlexW1555355588MaRDI QIDQ4955842

Chen Qing, Cheng Yi

Publication date: 22 May 2000

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-99-05334-4

zbMATH Keywords

hyperbolic spacecomplete minimal surfaceChern-Osserman inequality

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (6)

Density and spectrum of minimal submanifolds in space forms ⋮ Extrinsic isoperimetry and compactification of minimal surfaces in Euclidean and hyperbolic spaces ⋮ Chern-Osserman type equality for complete surfaces in \(\mathbb{R}^n\) ⋮ On the fundamental tone of minimal submanifolds with controlled extrinsic curvature ⋮ The Chern-Osserman inequality for minimal surfaces in a Cartan-Hadamard manifold with strictly negative sectional curvatures ⋮ Volume growth of submanifolds and the Cheeger isoperimetric constant

Cites Work

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• Complete minimal varieties in hyperbolic space
• The topology of complete minimal surfaces of finite total Gaussian curvature
• Compactification of minimal submanifolds of hyperbolic space
• Weierstrass representation for minimal surfaces in hyperbolic space
• Complete minimal surfaces in Euclidean \(n\)-spaces

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