Totally geodesic hypersurfaces of naturally reductive homogeneous spaces
type: Item
instance of: scholarly article
title: Totally geodesic hypersurfaces of naturally reductive homogeneous spaces
zbMATH Open document ID: 0871.53042
author: K. Tsukada
published in: Osaka Journal of Mathematics
publication date: 1997-09-24T00:00:00Z
review text: B.-Y. Chen and T. Nagano proved that a simply connected, irreducible symmetric space has constant sectional curvature if and only if it admits a totally geodesic hypersurface. K. Tojo extended this result to the class of simply connected irreducible naturally reductive spaces of dimension 3, 4 and 5 and to that of the normal homogeneous spaces. In this paper, the author proves that the result still holds when the restriction on the dimension is deleted.
reviewed by: Lieven Vanhecke
Mathematics Subject Classification ID: 53C40
Mathematics Subject Classification ID: 53C30
zbMATH DE Number: 1018460
zbMATH Keywords: naturally reductive homogeneous spaces
zbMATH Keywords: constant sectional curvature
zbMATH Keywords: totally geodesic hypersurface
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1018460