A note on the differential of the exponential map and Jacobi fields in a symmetric space
type: Item
instance of: scholarly article
title: A note on the differential of the exponential map and Jacobi fields in a symmetric space
zbMATH Open document ID: 0551.53029
author: Hajime Taniguchi
published in: Tokyo Journal of Mathematics
publication date: 1984-01-01T00:00:00Z
review text: The author states a relationship between the differential of the exponential map and Jacobi fields, in a manifold M with a torsion-free affine connection. If M is an affine symmetric space, an explicit form of a Jacobi field is also given. From these results, the author obtains two well known formulas on the differential of the exponential map, in a symmetric space and in a Lie group [\textit{S. Helgason}, Differential geometry, Lie groups and symmetric spaces (1978; Zbl 0451.53038)]
reviewed by: Anna Maria Pastore
Mathematics Subject Classification ID: 53C35
Mathematics Subject Classification ID: 53B05
zbMATH DE Number: 3877917
zbMATH Keywords: exponential map
zbMATH Keywords: Jacobi fields
zbMATH Keywords: torsion-free affine connection
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3836/tjm/1270153000
OpenAlex ID: W2014485622
DOI: 10.3836/TJM/1270153000
description: scientific article; zbMATH DE number 3877917