Metrics without Morse index bounds

DOI10.1215/S0012-7094-03-11925-0zbMath1059.53037arXivmath/0210290MaRDI QIDQ1431026

Nancy Hingston, Tobias Holck Colding

Publication date: 27 May 2004

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0210290

zbMATH Keywords

geodesicsMorse indexRiemannian metrics

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Geodesics in global differential geometry (53C22) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Related Items (3)

Convergence and the length spectrum ⋮ Existence of minimal surfaces of arbitrarily large Morse index ⋮ On the existence of minimal hypersurfaces with arbitrarily large area and Morse index

Cites Work

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• Parabolic equations for curves on surfaces. II: Intersections, blow-up and generalized solutions
• Shortening embedded curves
• Infinite dimensional Morse theory and multiple solution problems
• Geodesic laminations with closed ends on surfaces and Morse index; Kupka-Smale metrics

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