On the non-Riemannian quantity \(H\) of a Finsler metric
type: Item
instance of: scholarly article
title: On the non-Riemannian quantity \(H\) of a Finsler metric
zbMATH Open document ID: 1171.58301
author: Xiaohuan Mo
published in: Differential Geometry and its Applications
publication date: 2009-02-20T00:00:00Z
review text: On a Finsler manifold the quantity \(H\), defined as the covariant derivative of the Berwald mean curvature, is considered. A relation between this non-Riemannian quantity (i.e. a quantity that vanishes in the case of a Riemann manifold) and Riemannian curvature terms is established. It is shown that all \(R\)-quadratic Finsler metrics have vanishing \(H\).
reviewed by: Christian Günther
Mathematics Subject Classification ID: 58B20
zbMATH DE Number: 5509718
zbMATH Keywords: Finsler manifold
zbMATH Keywords: Non Riemannian quantity \(H\)
zbMATH Keywords: \(R\)-quadratic metric
Wikidata QID: Q115357495
MaRDI profile type: Publication
full work available at URL: j.difgeo.2008.06.002
OpenAlex ID: W1971507018
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DOI: 10.1016/J.DIFGEO.2008.06.002
description: scientific article; zbMATH DE number 5509718