nLab
Newton-Cartan structure
Redirected from "open interval".
Contents
Idea
A Newton-Cartan structure on a 4-manifold gives the manifold the structure of a non-relativistic Newtonian spacetime.
Definition
Definition
Let be a 4-manifold. A Newton-Cartan structure consists of
- A degenerate symmetric bivector of signature .
- A 1-form that lies in the kernel of viewed as a map .
- A torsion-free affine connection such that and .
Note that unlike Riemannian metrics, the connection is not uniquely specified by and .
Created on November 16, 2016 at 07:08:52.
See the history of this page for a list of all contributions to it.