Curve Length

The curve length of a smooth curve in a Riemannian manifold is

Here , where is the tangent space of at , and is the norm determined by the Riemannian structure.

See also

Arc Length, Distance, Length Metric

Explore with Wolfram|Alpha

More things to try:

Cite this as:

Weisstein, Eric W. "Curve Length." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/CurveLength.html

Subject classifications