Multi-linear formulation of differential geometry and matrix regularizations
type: Item
instance of: scholarly article
title: Multi-linear formulation of differential geometry and matrix regularizations
zbMATH Open document ID: 1252.53024
author: Joakim Arnlind
author: Jens Hoppe
author: Gerhard Huisken
published in: Journal of Differential Geometry
publication date: 2012-09-12T00:00:00Z
full work available at URL: https://arxiv.org/abs/1009.4779
full work available at URL: https://projecteuclid.org/euclid.jdg/1343133699
review text: The present paper is divided in two parts. The first three sections express the geometry of Riemannian submanifolds through Nambu brackets. The second part contains the applications of previous results to matrix regularizations of compact surfaces. In particular, are included a discrete version of the Gauss-Bonnet theorem and a proof that the discrete Gauss curvature bounds the eigenvalues of the discrete Laplacian.
reviewed by: Constantin Călin
Mathematics Subject Classification ID: 53B25
Mathematics Subject Classification ID: 53B20
Mathematics Subject Classification ID: 53D17
Mathematics Subject Classification ID: 26B99
zbMATH DE Number: 6081387
MaRDI profile type: Publication
OpenAlex ID: W1942843574
Wikidata QID: Q115170179
arXiv ID: 1009.4779
DOI: 10.4310/JDG/1343133699
description: scientific article; zbMATH DE number 6081387