On a notion of nonlocal curvature tensor
Differential Geometry
2022-12-29 v2 Analysis of PDEs
Abstract
In the literature various notions of nonlocal curvature can be found. Here we propose a notion of nonlocal curvature tensor. This we do by generalizing an appropriate representation of the classical curvature tensor and by exploiting some analogies with certain fractional differential operators.
Keywords
Cite
@article{arxiv.2211.00552,
title = {On a notion of nonlocal curvature tensor},
author = {Roberto Paroni and Paolo Podio-Guidugli and Brian Seguin},
journal= {arXiv preprint arXiv:2211.00552},
year = {2022}
}
Comments
21 pages, 3 figures