Light-likeness of boundaries of extremal surfaces of mixed type in physical space-times

DOI10.1016/j.jmaa.2014.09.012zbMath1302.53025OpenAlexW2112273589MaRDI QIDQ465196

Chen Zhao, De-Xing Kong

Publication date: 31 October 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.09.012

zbMATH Keywords

boundaryspace-timeextremal surface of mixed typelight-likenessrelativistic string

Mathematics Subject Classification ID

General relativity (83C99) Local submanifolds (53B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Cites Work

• Maximal surfaces in the 3-dimensional Minkowski space \(L^ 3\)
• Entire timelike minimal surfaces in \(E^{3,1}\)
• Spacelike hypersurfaces with prescribed boundary values and mean curvature
• Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces
• Complete extremal surfaces of mixed type in 3-dimensional Minkowski space
• General solutions of nonlinear equations in the geometric theory of the relativistic string
• PLATEAU'S PROBLEM IN MINKOWSKI SPACE
• The extremal surfaces in the 3-dimensional Minkowski space
• A class of boundary problems for extremal surfaces of mixed type in Minkowski 3-space.
• Harmonic coordinates in the string and membrane equations
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