The connections of pseudo-Finsler spaces
type: Item
instance of: scholarly article
title: The connections of pseudo-Finsler spaces
zbMATH Open document ID: 1312.53043
DOI: 10.1142/S0219887814600251
author: E. Minguzzi
published in: International Journal of Geometric Methods in Modern Physics
publication date: 2014-10-20T00:00:00Z
full work available at URL: https://arxiv.org/abs/1405.0645
Mathematics Subject Classification ID: 53C07
Mathematics Subject Classification ID: 58B20
Mathematics Subject Classification ID: 53B15
Mathematics Subject Classification ID: 53C60
zbMATH DE Number: 6359104
zbMATH Keywords: nonlinear connections
zbMATH Keywords: Finsler geometry
zbMATH Keywords: Finsler gravity
MaRDI profile type: Publication
arXiv ID: 1405.0645
cites work: Finsler metrics - a global approach. With applications to geometric function theory
cites work: A Theorem on Homogeneous Functions
cites work: Torsion and Ricci tensor for nonlinear connections
cites work: A divergence theorem for Finsler metrics
cites work: Q3881471
cites work: Connections, Sprays and Finsler Structures
review text: The paper under review is a self-contained article which gives an introduction to (pseudo-)Finsler geometry based on connections. The paper has six sections. After an introduction in the first section, the author gives a general theory of connections on vector bundles in Sections two and three. Section four is devoted to Finsler geometry and its connections. In Section five the Bianchi identities for the linear and nonlinear connections are given and the curvature and torsion of the linear connections are studied. In the last section (Section six) the author gives a discussion about the question ``What is the best Finsler connection?''.
reviewed by: Hamid Reza Salimi Moghaddam
description: scientific article; zbMATH DE number 6359104