Papers
Authors
Leo Brewin
Abstract
We will develop simple relations between the arc-lengths of a pair of geodesics that share
common end-points. The two geodesics differ only by the requirement that one is constrained to
lie in a subspace of the parent manifold. We will present two applications of our results. In
the first example we explore the convergence of Gaussian curvature estimates on a simple
triangular mesh. The second example demonstrates an improved error estimate for the area of a
Schwarz lantern.
Reference