Bumpy metrics and closed parametrized minimal surfaces in Riemannian manifolds

DOI10.1090/S0002-9947-06-04317-0zbMath1126.53031arXiv1012.3906OpenAlexW2093582748WikidataQ115289081 ScholiaQ115289081MaRDI QIDQ3420320

John Douglas Moore

Publication date: 1 February 2007

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

Full work available at URL: https://arxiv.org/abs/1012.3906

zbMATH Keywords

energy functionnondegenerate critical submanifoldsMorse nondegenerate

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Global submanifolds (53C40) Variational problems concerning minimal surfaces (problems in two independent variables) (58E12) Manifolds of mappings (58D15)

Related Items

Correction for: “Bumpy metrics and closed parametrized minimal surfaces in Riemannian manifolds”, Minimal two-spheres of low index in manifolds with positive complex sectional curvature, A factorization theorem for harmonic maps, Spaces of harmonic surfaces in non-positive curvature, Self-intersections of closed parametrized minimal surfaces in generic Riemannian manifolds, An inequality for length and volume in the complex projective plane

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