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'moving frame'
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| Title of object: |
moving frame |
| Canonical Name: |
MovingFrame2 |
| Type: |
Definition |
| Created on: |
2006-12-08 17:13:19 |
| Modified on: |
2006-12-08 17:13:19 |
| Classification: |
msc:53A04 |
Revision comment (for changes between this and next version):
| Changes for correction #11036 ('Please specify'). |
Preamble:
% this is the default PlanetMath preamble. as your knowledge
% of TeX increases, you will probably want to edit this, but
% it should be fine as is for beginners.
% almost certainly you want these
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}
% used for TeXing text within eps files
%\usepackage{psfrag}
% need this for including graphics (\includegraphics)
%\usepackage{graphicx}
% for neatly defining theorems and propositions
%\usepackage{amsthm}
% making logically defined graphics
%\usepackage{xypic}
% there are many more packages, add them here as you need them
% define commands here
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Content:
| Given some neighborhood $U$ of $P$, a {\em moving frame} has $n$ vector fields defined on $U$, and these vary smoothly as a function of $Q$ in $U$ and any of the points on the vectors can be moved from $P$ to $Q$ quite easily. The concept of the moving frame has applications in general relativity and Riemannian geometry. |
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