Intrinsic Curvature of the Induced Metric on Harmonically Immersed Surfaces

DOI10.2307/2045252zbMath0574.58021OpenAlexW4229909071MaRDI QIDQ3694310

Tilla Klotz Milnor

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2045252

zbMATH Keywords

curvatureharmonic mapimmersionpseudo-Riemannian manifoldcomplete Riemannian metricoriented surface

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)

Cites Work

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• Abstract Weingarten surfaces
• Integrable Hamiltonian systems and interactions through quadratic constraints
• Efimov's theorem about complete immersed surfaces of negative curvature
• Globale Tschebyscheff-Netze auf Riemannschen Mannigfaltigkeiten und Fortsetzung von Flächen konstanter negativer Krümmung
• Harmonic Maps and Classical Surface Theory in Minkowski 3-Space
• On the cauchy problem for harmonic maps defined on two-dimensional Minkowski space

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