Dissertation: The Cauchy Problem for Membranes

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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109 pages, no figures, references updated

Scientific paper

We show existence and uniqueness for timelike minimal submanifolds in ambient
Lorentz manifolds admitting a time function. The initial value formulation
introduced and the conditions imposed on the initial data are given in purely
geometric terms.

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