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2007 Class. Quantum Grav. 24 3091-3124 doi: 10.1088/0264-9381/24/11/020
This is an Editor's Choice article.
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Abstract. A classification of two-dimensional surfaces embedded in spacetime is presented, according to the algebraic properties of their shape tensor. The classification has five levels and provides, among other things, a refinement of the concepts of trapped, umbilical and extremal surfaces, which split into several different classes. The classification raises new important questions and opens many possible new lines of research. These, together with some applications and examples, are briefly considered.
PACS numbers: 04.20.Cv, 02.40.Ky
Print publication: Issue 11 (7 June 2007) |
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