timelike homotopy (Q7805573)
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in a Lorentzian manifold, a homotopy between two timelike curves such that each intermediate curve is timelike
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | timelike homotopy |
in a Lorentzian manifold, a homotopy between two timelike curves such that each intermediate curve is timelike |
Statements
![{\displaystyle {\begin{aligned}&\gamma \colon [0,1]\times [a,b]\to M\\&\forall (s,t)\in [0,1]\times [a,b]\colon g\left({\frac {\partial \gamma (s,t)}{\partial t}},{\frac {\partial \gamma (s,t)}{\partial t}}\right)<0\end{aligned}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/4dc77f9091169a8ffd685c8cfd4d32fb805775e9)
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Wikipedia(1 entry)
- enwiki Timelike homotopy