Difference between revisions of "Killing vector field"
From Wiki @ Karl Jones dot com
Karl Jones (Talk | contribs) (Created page with "In mathematics, a '''Killing vector field''' (often just '''Killing field'''), named after Wilhelm Killing, is a vector field on a Riemannian manifold (or pseudo-R...") |
Karl Jones (Talk | contribs) (→External links) |
||
| Line 15: | Line 15: | ||
* [https://en.wikipedia.org/wiki/Killing_vector_field Killing vector field] @ Wikipedia | * [https://en.wikipedia.org/wiki/Killing_vector_field Killing vector field] @ Wikipedia | ||
| + | |||
| + | |||
| + | |||
| + | [[Category:Mathematics]] | ||
Latest revision as of 17:23, 25 April 2016
In mathematics, a Killing vector field (often just Killing field), named after Wilhelm Killing, is a vector field on a Riemannian manifold (or pseudo-Riemannian manifold) that preserves the metric.
Description
Killing fields are the infinitesimal generators of isometries; that is, flows generated by Killing fields are continuous isometries of the manifold.
More simply, the flow generates a symmetry, in the sense that moving each point on an object the same distance in the direction of the Killing vector field will not distort distances on the object.
See also
External links
- Killing vector field @ Wikipedia
