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arxiv: gr-qc/0301012 · v1 · pith:VCCDF5JXnew · submitted 2003-01-05 · 🌀 gr-qc

Extrinsic Curvature Embedding Diagrams

classification 🌀 gr-qc
keywords curvatureembeddingdiagramextrinsiccurveddiagramsintrinsickind
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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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