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TIMELIKE MINIMAL SUBMANIFOLDS OF GENERAL CO-DIMENSION IN MINKOWSKI SPACE TIME

PAUL ALLEN

Department of Mathematics, University of Oregon, Eugene, OR 97403, USA

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LARS ANDERSSON

Department of Mathematics, University of Miami, Coral Gables, FL 33124, USA

Albert Einstein Institute, Max Planck Institute for Gravitational Physics, D-14476 Potsdam, Germany

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, and

JAMES ISENBERG

Department of Mathematics, University of Oregon, Eugene, OR 97403, USA

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https://doi.org/10.1142/S0219891606000963Cited by:20 (Source: Crossref)

Abstract

We consider the timelike minimal surface problem in Minkowski spacetimes and show local and global existence of such surfaces having arbitrary dimension ≥ 2 and arbitrary co-dimension, provided they are initially close to a flat plane.

Keywords:

AMSC: 35L70

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