A geometric Cauchy problem for timelike minimal surfaces

DOI10.1007/BF02108303zbMath0830.53049MaRDI QIDQ1892343

Thomas Deck

Publication date: 28 January 1996

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

zbMATH Keywords

string theorygeometric Cauchy problemtimelike minimal surfaces

Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30) Second-order nonlinear hyperbolic equations (35L70) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Propagation of singularities; initial value problems on manifolds (58J47)

Related Items (8)

The Cauchy problem of Lorentzian minimal surfaces in globally hyperbolic manifolds ⋮ The Björling problem for timelike minimal surfaces in \({\mathbb {R}}^{4}_{1}\) ⋮ On the full bosonic string from Minkowski space to Riemannian manifolds ⋮ The Björling problem for timelike surfaces in \(\mathbb R_2^4\) ⋮ Björling problem for timelike surfaces in the Lorentz-Minkowski space ⋮ Timelike minimal surfaces via loop groups ⋮ Gaussian curvature, elasticity of string and geodesic incompleteness in string theory ⋮ On indefinite special Lagrangian submanifolds in indefinite complex Euclidean spaces

Cites Work

• Virasoro-type algebras, Riemann surfaces and strings in Minkowski space
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