Extrinsic Curvature Embedding Diagrams
General Relativity and Quantum Cosmology
2015-06-25 v1
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.
Cite
@article{arxiv.gr-qc/0301012,
title = {Extrinsic Curvature Embedding Diagrams},
author = {J. L. Lu and W. -M. Suen},
journal= {arXiv preprint arXiv:gr-qc/0301012},
year = {2015}
}
Comments
22 pages, 4 figures