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arXiv · gr-qc/0301012

Extrinsic Curvature Embedding Diagrams

J. L. Lu·W. -M. Suen
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Abstract

Embedding diagrams have been used extensively to visualize the properties of curved space in Relativity. We introduce a new kind of embedding diagram based on the {\it extrinsic} curvature (instead of the intrinsic curvature). Such an extrinsic curvature embedding diagram, when used together with the usual kind of intrinsic curvature embedding diagram, carries the information of how a surface is {\it embedded} in the higher dimensional curved space. Simple examples are given to illustrate the idea.

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J. L. Lu, W. -M. Suen. 2003-01-05. Extrinsic Curvature Embedding Diagrams. https://doi.org/10.1023/a%3A1024441623121

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