Locally dually flat Finsler metrics with special curvature properties
type: Item
instance of: scholarly article
title: Locally dually flat Finsler metrics with special curvature properties
zbMATH Open document ID: 1227.53032
author: Yanfang Tian
author: Xinyue Cheng
published in: Differential Geometry and its Applications
publication date: 2011-10-12T00:00:00Z
review text: Locally dual flat Finsler metrics were introduced by Z. Shen in Finslerian information geometry, and the present paper is a survey on this very interesting subject. Only two results appear with proofs, namely Theorem 2.2 which generalizes the well-known fact that the Funk metric on the unit disk has constant flag curvature \(K=-\frac{1}{4}\) and Proposition 4.1 that studies locally projective flat Randers metrics.
reviewed by: Radu Miron
Mathematics Subject Classification ID: 53B40
Mathematics Subject Classification ID: 53C60
zbMATH DE Number: 5957576
zbMATH Keywords: locally dually flat Finsler metric
zbMATH Keywords: Finslerian information geometry
zbMATH Keywords: Funk metric
Wikidata QID: Q115356904
MaRDI profile type: Publication
full work available at URL: j.difgeo.2011.04.014
OpenAlex ID: W2060324534
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DOI: 10.1016/J.DIFGEO.2011.04.014
description: scientific article; zbMATH DE number 5957576