Geodesic preservation by a local isometry

A local isometry intertwines the Levi--Civita covariant derivatives. It therefore sends every affinely parametrized geodesic to an affinely parametrized geodesic.

Table of contents 46 1
- Geodesic-preserving homothety that is not a local isometry Geodesic preservation by a local isometry 26

 Ancestors (7)

Local isometry
First fundamental form
Differential geometry
Geometry and topology
Area of mathematics
Mathematics
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