2 papers
math.DG2025
On the Curvature of Regge Metrics
Evan S. Gawlik, Jack McKee
We use moving frame techniques to derive a notion of curvature for a class of piecewise-smooth Riemannian metrics called Regge metrics, showing that it is a measure that simultaneo…
math.NA2024
Intrinsic Finite Element Error Analysis on Manifolds with Regge Metrics, with Application to Calculating Connection Forms
Evan S. Gawlik, Jack McKee
We present some aspects of the theory of finite element exterior calculus as applied to partial differential equations on manifolds, especially manifolds endowed with an approximat…