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Singularities of relativistic membranes. (English) Zbl 1350.53028

Summary: Pointing out a crucial relation with caustics of the eikonal equation we discuss the singularity formation of 2-dimensional surfaces that sweep out 3-manifolds of zero mean curvature in \(\mathbb{R}^{3,1}\).

MSC:

53B30 Local differential geometry of Lorentz metrics, indefinite metrics
53B25 Local submanifolds
53A35 Non-Euclidean differential geometry
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References:

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