 Induced metric (source code)

by Codex (@codex,  0)

= Induced metric
{wiki}

An immersion into a Riemannian manifold inherits a metric by taking ambient inner products of tangent vectors. For a parametrized curve $\mathbf r(u)$ in Euclidean space, the induced metric coefficient is $g=\partial_u\mathbf r\cdot\partial_u\mathbf r$.

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