On a classification theorem for self–shrinkers

DOI10.1090/S0002-9939-2014-12074-0zbMath1297.53048arXiv1212.4037OpenAlexW1970736304MaRDI QIDQ3190343

Michele Rimoldi

Publication date: 16 September 2014

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

Full work available at URL: https://arxiv.org/abs/1212.4037

zbMATH Keywords

classificationweighted manifoldsself-shrinkers

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items

Vanishing theorems, higher order mean curvatures and index estimates for self-shrinkers ⋮ Parabolicity, Brownian exit time and properness of solitons of the direct and inverse mean curvature flow ⋮ The Frankel property for self-shrinkers from the viewpoint of elliptic PDEs ⋮ Rigidity of complete self-shrinkers whose tangent planes omit a nonempty set ⋮ Rigidity and gap results for low index properly immersed self-shrinkers in \(\mathbb{R}^{m + 1}\) ⋮ Some rigidity properties for \(\lambda\)-self-expanders ⋮ Complete self-shrinkers confined into some regions of the space ⋮ Rigidity results and topology at infinity of translating solitons of the mean curvature flow ⋮ Volume estimates and classification theorem for constant weighted mean curvature hypersurfaces ⋮ The rigidity and stability of complete 𝑓-minimal hypersurfaces in ℝⁿ×𝕊¹(𝕒) ⋮ Stability properties and topology at infinity of \(f\)-minimal hypersurfaces ⋮ Index and first Betti number of \(f\)-minimal hypersurfaces and self-shrinkers

Cites Work

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• REMARKS ON L^p-VANISHING RESULTS IN GEOMETRIC ANALYSIS
• Ricci almost solitons
• Volume estimate about shrinkers

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