Saddle surfaces in singular spaces

DOI10.1090/S0002-9947-04-03626-8zbMath1076.53082OpenAlexW1658988300WikidataQ125083876 ScholiaQ125083876MaRDI QIDQ4663487

Dimitrios E. Kalikakis

Publication date: 31 March 2005

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-04-03626-8

zbMATH Keywords

isoperimetric inequalitycompactnesssaddle surfaceAleksandrov space

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45) Euclidean geometries (general) and generalizations (51M05)

Cites Work

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• A characterization of regular saddle surfaces in the hyperbolic and spherical three-space
• On the curvature of nonregular saddle surfaces in the hyperbolic and spherical three-space
• Sobolev spaces and harmonic maps for metric space targets
• Convex functionals and generalized harmonic maps into spaces of non positive curvature
• Inextensible mappings in a space of curvature no greater than K
• Geometric Curvature Bounds in Riemannian Manifolds with Boundary
• Parametrizations of Saddle Surfaces, with Application to the Problem of Plateau

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