Rigidity of stable cylinders in three-manifolds
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Publication:5390230
DOI10.1090/S0002-9939-2011-11197-3zbMath1245.53011arXiv1104.3252OpenAlexW2033157926WikidataQ125858230 ScholiaQ125858230MaRDI QIDQ5390230
Publication date: 27 April 2012
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1104.3252
Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Rigidity results (53C24)
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Inverse spectral positivity for surfaces, Gradient Schrödinger operators, manifolds with density and applications
Cites Work
- Rigidity of area-minimizing two-spheres in three-manifolds
- On complete minimal surfaces with finite Morse index in three manifolds
- Harmonic maps and the topology of stable hypersurfaces and manifolds with non-negative Ricci curvature
- An inverse spectral problem on surfaces
- Complete surfaces in \(E^ 3\) with constant mean curvature
- A Colding-Minicozzi stability inequality and its applications
- The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature
- Unicity of constant mean curvature hypersurfaces in some riemannian manifolds
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