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In mathematics and theoretical physics, a Killing vector field or Killing field (named after Wilhelm Killing) is a vector field on a Riemannian manifold or pseudo-Riemannian manifold that preserves the metric.
Examples, Properties & Generalizations
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displaystyle killing fields vector field space tensor metric one point manifold lie two three mathfrak tangent isometries symmetric partial group
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Killing vector field | is a | pushforward of a right invariant vector field on G | 0.90 | text |
| Killing vector field | related to Circle | The | 0.60 | section |
| Killing vector field | related to Circle | Killing | 0.60 | section |
| Killing vector field | related to Definitions | Riemannian | 0.60 | section |
| Killing vector field | related to Definitions | Killing | 0.60 | section |
| Killing vector field | related to Definitions | Lie | 0.60 | section |
| Killing vector field | related to Definitions | Equivalently | 0.60 | section |
| Killing vector field | related to Generalizations | Killing | 0.60 | section |
| Killing vector field | related to Generalizations | The | 0.60 | section |
| Killing vector field | related to Generalizations | Examples | 0.60 | section |
| Killing vector field | related to Generalizations | FRW | 0.60 | section |
| Killing vector field | related to Generalizations | Lie | 0.60 | section |
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