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math.DG2019★ 3 cited
The total intrinsic curvature of curves in Riemannian surfaces
Domenico Mucci, Alberto Saracco
We deal with irregular curves contained in smooth, closed, and compact surfaces. For curves with finite total intrinsic curvature, a weak notion of parallel transport of tangent ve…
math.DG2019★ 4 cited
The weak Frenet frame of non-smooth curves with finite total curvature and absolute torsion
Domenico Mucci, Alberto Saracco
We deal with a notion of weak binormal and weak principal normal for non-smooth curves of the Euclidean space with finite total curvature and total absolute torsion. By means of pi…