English

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.

Keywords

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

R2 v1 2026-07-22T12:37:08.005Z