Complete submanifolds in manifolds of partially non-negative curvature

DOI10.1007/s10455-009-9176-6zbMath1189.53035OpenAlexW2067491331MaRDI QIDQ849341

Qiaoling Wang

Publication date: 25 February 2010

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-009-9176-6

zbMATH Keywords

submanifoldsharmonic mapstotal curvature

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global Riemannian geometry, including pinching (53C20)

Related Items (5)

Vanishing theorems on complete manifolds with weighted Poincaré inequality and applications ⋮ Liouville type theorem about \(p\)-harmonic function and \(p\)-harmonic map with finite \(L^q\)-energy ⋮ A finiteness theorem for ends of complete manifolds supporting a Sobolev type inequality ⋮ Harmonic 1-forms on immersed hypersurfaces in a Riemannian manifold with weighted bi-Ricci curvature bounded from below ⋮ The weighted Sobolev and mean value inequalities

Cites Work

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• On complete minimal surfaces with finite Morse index in three manifolds
• Harmonic functions and the structure of complete manifolds
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• The structure of stable minimal hypersurfaces in \(\mathbb{R}^{n+1}\)
• The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature
• Stable complete minimal surfaces in 𝑅³ are planes
• Stable minimal hypersurfaces in a nonnegatively curved manifold
• Sobolev and mean‐value inequalities on generalized submanifolds of Rⁿ
• Harmonic Mappings of Riemannian Manifolds
• A note on harmonic maps

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