A finiteness theorem for ends of complete manifolds supporting a Sobolev type inequality
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Publication:540466
DOI10.1007/s10455-011-9247-3zbMath1221.53072OpenAlexW1978812491MaRDI QIDQ540466
Publication date: 3 June 2011
Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10455-011-9247-3
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Cites Work
- Unnamed Item
- Structure of space-like submanifolds in pseudo-Euclidean space
- Complete submanifolds of manifolds of negative curvature
- Complete submanifolds in manifolds of partially non-negative curvature
- Total curvature and \(L ^{2}\) harmonic 1-forms on complete submanifolds in space forms
- Volume growth, curvature decay, and critical metrics
- Complete submanifolds with bounded mean curvature in a Hadamard manifold
- On complete minimal surfaces with finite Morse index in three manifolds
- Harmonic functions and the structure of complete manifolds
- The structure of stable minimal hypersurfaces in \(\mathbb{R}^{n+1}\)
- Minimal hypersurfaces with finite index
- An exact sequence in \(L^2\)-cohomology
- Counting cusps on complete manifolds of finite volume
- Complete hypersurfaces with bounded mean curvature in \({\mathbb R}^{n+1}\)
- Symmetric Green's Functions on Complete Manifolds
- The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature
- Stable complete minimal surfaces in 𝑅³ are planes
- On the Sobolev constant and the $p$-spectrum of a compact riemannian manifold
- Sobolev and isoperimetric inequalities for riemannian submanifolds
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