Three-dimensional locally homogeneous Lorentzian affine hyperspheres with constant sectional curvature
type: Item
instance of: scholarly article
title: Three-dimensional locally homogeneous Lorentzian affine hyperspheres with constant sectional curvature
zbMATH Open document ID: 1271.53007
author: Masahiro Ooguri
published in: Journal of Geometry
publication date: 2013-06-13T00:00:00Z
review text: Lorentzian submanifold of an affine space means that the affine metric is Lorentzian. The Lorentzian affine hyperspheres in \(\mathbb R^4\) with zero Pick invariant and an affine metric with constant sectional curvature were described by \textit{F. Dillen} et al. [Affine hyperspheres with constant affine sectional curvature. Singapore: World Scientific (2000; Zbl 0996.53005)]. The present author gives a complete classification by additionally assuming local homogeneity.
Mathematics Subject Classification ID: 53A15
Mathematics Subject Classification ID: 53C40
zbMATH DE Number: 6175457
zbMATH Keywords: affine hypersphere
zbMATH Keywords: locally homogeneous
zbMATH Keywords: difference tensor field
zbMATH Keywords: Lorentzian affine metric
zbMATH Keywords: affine metric with constant sectional curvature
reviewed by: Erhard Heil
MaRDI profile type: Publication
full work available at URL: s00022-013-0147-5
OpenAlex ID: W2040245974
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DOI: 10.1007/S00022-013-0147-5
description: scientific article; zbMATH DE number 6175457