A notion of nonlocal Gaussian curvature
Paolo Podio-Guidugli
Università di Roma Tor Vergata, Italy
Abstract
A local notion of directional-curvature vector is proposed, which admits a nonlocal version that turns out to be the key ingredient to define both nonlocal mean curvature in the manner of [1] and [4] and nonlocal Gaussian curvature, a new notion.
Cite this article
Paolo Podio-Guidugli, A notion of nonlocal Gaussian curvature. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 27 (2016), no. 2, pp. 181–193
DOI 10.4171/RLM/730