The Cauchy problem of Lorentzian minimal surfaces in globally hyperbolic manifolds

DOI10.1007/s10455-006-9053-5zbMath1152.81036OpenAlexW1979568100MaRDI QIDQ2642620

Olaf Müller

Publication date: 17 August 2007

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-006-9053-5

zbMATH Keywords

minimal surfacesstring theoryglobally hyperbolic manifold

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (5)

On the full bosonic string from Minkowski space to Riemannian manifolds ⋮ Functors in Lorentzian geometry: three variations on a theme ⋮ Special temporal functions on globally hyperbolic manifolds ⋮ The effective theory of strings ⋮ Lorentzian manifolds isometrically embeddable in 𝕃^{ℕ}

Cites Work

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• Further results on the smoothability of Cauchy hypersurfaces and Cauchy time functions
• A geometric Cauchy problem for timelike minimal surfaces
• Flat maximal immersions
• Codazzi spinors and globally hyperbolic manifolds with special holonomy
• Smoothness of time functions and the metric splitting of globally hyperbolic spacetimes
• The problem of Plateau on a Riemannian manifold
• An analogue of the Riemann mapping theorem for Lorentz metrics
• On the cauchy problem for harmonic maps defined on two-dimensional Minkowski space
• The Most General Form of the Problem of Plateau

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