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Science

triron

(22,025 posts) Mon Aug 19, 2019, 11:39 PM Aug 2019

Christoffel symbols anyone (related to tensors)?

Like to get someone's understanding. Why N**3 entries for N dimensions?

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Christoffel symbols anyone (related to tensors)? (Original Post) triron Aug 2019 OP

A Christoffel symbol has three indices, Lionel Mandrake Aug 2019 #1

Lionel Mandrake

(4,076 posts)

1. A Christoffel symbol has three indices,

Reply to triron (Original post)

Wed Aug 21, 2019, 03:32 PM

Aug 2019

each of which can take N values. So there are N^3 combinations of indices.

Yes, Christoffel symbols are related to tensors. More specifically, Christoffel symbols appear in one definition of the Riemann-Christoffel curvature tensor for a smooth Riemannian manifold.

https://en.wikipedia.org/wiki/Riemann_curvature_tensor

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