Area and curvature in Finsler spaces
type: Item
instance of: scholarly article
title: Area and curvature in Finsler spaces
zbMATH Open document ID: 0815.53034
DOI: 10.1016/0034-4877(93)90058-M
author: Lajos Tamássy
published in: Reports on Mathematical Physics
publication date: 1995-06-29T00:00:00Z
review text: An explicit expression for \(k\)-dimensional \((1 \leq k \leq n)\) area in an \(n\)-dimensional Finsler space is introduced. Using this notion a new definition of curvature for submanifolds of a Finsler space endowed with a connection is given. This curvature in the case of \(F_ n =\mathbb{R}^ 3\) reduces to the Gauss curvature. Some open problems are mentioned.
Mathematics Subject Classification ID: 53B40
Mathematics Subject Classification ID: 53B25
zbMATH DE Number: 704249
zbMATH Keywords: area
zbMATH Keywords: curvature
zbMATH Keywords: submanifolds
zbMATH Keywords: Finsler space
zbMATH Keywords: connection
reviewed by: Irena Comic
MaRDI profile type: Publication
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full work available at URL: 0034-4877(93)90058-m
OpenAlex ID: W2046871122
description: scientific article; zbMATH DE number 704249