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

Nagai, Setsuo

Arch. Math. 69, No. 6, 523-528 (1997).

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.

Reviewer: Jürgen Berndt (Hull)

MSC:

53C30	Differential geometry of homogeneous manifolds
53C40	Global submanifolds

Keywords:

homogeneous hypersurfaces; naturally reductive homogeneous spaces; real hypersurfaces; complex projective space; homogeneous structures

Citations:

Zbl 0274.53062