Volume-preserving geodesic symmetries on four-dimensional 2-Stein spaces
type: Item
instance of: scholarly article
title: Volume-preserving geodesic symmetries on four-dimensional 2-Stein spaces
zbMATH Open document ID: 0613.53010
published in: Kodai Mathematical Journal
publication date: 1986-01-01T00:00:00Z
review text: It is an open question whether a Riemannian manifold whose local geodesic symmetries are all volume-preserving is necessarily locally homogeneous. The authors prove this in the case of four-dimensional 2-Stein spaces, the assertion being that the manifold is flat or locally isometric to a rank one symmetric space.
Mathematics Subject Classification ID: 53B20
Mathematics Subject Classification ID: 53C25
zbMATH DE Number: 3992346
zbMATH Keywords: volume-preserving symmetries
zbMATH Keywords: geodesic symmetries
zbMATH Keywords: 2-Stein spaces
author: Kouei Sekigawa
author: Lieven Vanhecke
reviewed by: Andrzej Derdzinski
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2996/kmj/1138037204
OpenAlex ID: W2125057647
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DOI: 10.2996/KMJ/1138037204
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description: scientific article; zbMATH DE number 3992346