On 2/18/2019 2:05 PM, agrayson2...@gmail.com wrote:
*Is it correct to say that in 3-space with the Euclidian metric the geodesic is the path determined by minimal distance between two points, whereas in 4-space with the Lorentzian metric it's the maximal distance? TIA, AG*
That's right as far as it goes. "Geodesic" is a general term in geometry, applying to curved spaces as well as flat and it refers to paths that are extremal. So in general relativity there can be different geodesics between the same two events, each of which is a local extremal.
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