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The motion of membranes in space-time

Research output: Contribution to Journal/MagazineJournal articlepeer-review

<mark>Journal publication date</mark>08/1989
<mark>Journal</mark>Reports on Mathematical Physics
Issue number1
Number of pages5
Pages (from-to)141-145
Publication StatusPublished
<mark>Original language</mark>English


The equation of a hypersurface interacting with external fields in space-time is established. A class of models is based on the properties of a symmetric divergence-free distribution-valued stress tensor for the interacting system. The elastodynamic properties are encoded into the induced metric and shape tensor of the immersion together with invariants constructed from the Weingarten map. Two particular examples are discussed that are relevant to recent developments in the theories of relativistic extended particles.