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