The classification of naturally reductive homogeneous real hypersurfaces in complex projective space
type: Item
instance of: scholarly article
title: The classification of naturally reductive homogeneous real hypersurfaces in complex projective space
zbMATH Open document ID: 0901.53037
author: Setsuo Nagai
published in: Archiv der Mathematik
publication date: 1998-11-22T00:00:00Z
review text: Homogeneous real hypersurfaces in complex projective space have been classified by \textit{R. Takagi} [Osaka J. Math. 10, 495-506 (1973; Zbl 0274.53062)]. Using the theory of homogeneous structures, the author proves that the only naturally reductive ones among these hypersurfaces are the tubes around totally geodesic complex projective subspaces.
reviewed by: Jürgen Berndt
Mathematics Subject Classification ID: 53C30
Mathematics Subject Classification ID: 53C40
zbMATH DE Number: 1145421
zbMATH Keywords: homogeneous hypersurfaces
zbMATH Keywords: naturally reductive homogeneous spaces
zbMATH Keywords: real hypersurfaces
zbMATH Keywords: complex projective space
zbMATH Keywords: homogeneous structures
MaRDI profile type: Publication
full work available at URL: s000130050155
OpenAlex ID: W2036779790
DOI: 10.1007/S000130050155
description: scientific article; zbMATH DE number 1145421