The geodesic total curvature of spherical curves
Differential Geometry
2023-03-13 v2
Abstract
The geodesic total curvature of rectifiable spherical curves is analyzed. We extend to the case of high dimension spheres the explicit formula that holds true for curves supported into the 2-sphere. For this purpose, we take advantage of some new integral-geometric formulas concerning both the Euclidean and geodesic total curvature of spherical curves.
Keywords
Cite
@article{arxiv.2105.03840,
title = {The geodesic total curvature of spherical curves},
author = {Domenico Mucci and Alberto Saracco},
journal= {arXiv preprint arXiv:2105.03840},
year = {2023}
}
Comments
Unluckily we found an error in one proof