×

The classification of naturally reductive homogeneous real hypersurfaces in complex projective space. (English) Zbl 0901.53037

Homogeneous real hypersurfaces in complex projective space have been classified by 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.

MSC:

53C30 Differential geometry of homogeneous manifolds
53C40 Global submanifolds

Citations:

Zbl 0274.53062
PDF BibTeX XML Cite
Full Text: DOI