Unstable minimal surfaces of annulus type in manifolds

DOI10.1515/ADVGEOM.2009.021zbMath1188.53013arXivmath/0603615OpenAlexW2952520451MaRDI QIDQ5191083

Hwajeong Kim

Publication date: 28 July 2009

Published in: advg (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0603615

zbMATH Keywords

Palais-Smale conditionunstable minimal surfaceanulus type

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (1)

Morse theory for minimal surfaces in manifolds

Cites Work

• Conformally invariant variational integrals and the removability of isolated singularities
• Morse-Conley theory for minimal surfaces of varying topological type
• The existence of minimal immersions of 2-spheres
• An existence theorem for harmonic mappings of Riemannian manifolds
• Uniqueness and stability of harmonic maps and their Jacobi fields
• Uniqueness of minimal surfaces in Euclidean and hyperbolic 3-space
• A variational approach to the regularity of minimal surfaces of annulus type in Riemannian manifolds
• Some remarks on minimal surfaces in riemannian manifolds
• Harmonic Mappings of Riemannian Manifolds

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