On the fundamental tone of minimal submanifolds with controlled extrinsic curvature

DOI10.1007/s11118-013-9349-6zbMath1302.53070arXiv1301.1148OpenAlexW2951367556MaRDI QIDQ2248974

Vicent Gimeno

Publication date: 27 June 2014

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.1148

zbMATH Keywords

hyperbolic spaceminimal submanifoldsfundamental tone

Mathematics Subject Classification ID

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

Related Items

Fundamental tone of minimal hypersurfaces with finite index in hyperbolic space, Biharmonic maps and biharmonic submanifolds with small curvature integral, \(p\)-Fundamental tone estimates of submanifolds with bounded mean curvature, Asymptotically extrinsic tamed submanifolds, Ends, fundamental tones, and capacities of minimal submanifolds via extrinsic comparison theory

Cites Work

• Unnamed Item
• Unnamed Item
• Volume growth, number of ends, and the topology of a complete submanifold
• Rigidity of asymptotically hyperbolic manifolds
• Finiteness of the number of ends of minimal submanifolds in Euclidean space
• Extrinsic isoperimetry and compactification of minimal surfaces in Euclidean and hyperbolic spaces
• The Chern-Osserman inequality for minimal surfaces in a Cartan-Hadamard manifold with strictly negative sectional curvatures
• Complete minimal surfaces in Euclidean \(n\)-spaces
• An upper bound to the spectrum of \(\Delta\) on a manifold of negative curvature
• Volume growth of submanifolds and the Cheeger isoperimetric constant
• STABLE MINIMAL HYPERSURFACES IN THE HYPERBOLIC SPACE
• ON SUBMANIFOLDS WITH TAMED SECOND FUNDAMENTAL FORM
• Eigenvalue estimates for minimal surfaces in hyperbolic space
• Rotation Hypersurfaces in Spaces of Constant Curvature
• Isoperimetric Inequalities for Extrinsic Balls in Minimal Submanifolds and their Applications
• Chern-Osserman inequality for minimal surfaces in 𝐇ⁿ
• Review of geometry and analysis
• Eigenvalue estimates for submanifolds with bounded mean curvature in the hyperbolic space