The classification of naturally reductive homogeneous real hypersurfaces in complex projective space (Q1383609)
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scientific article; zbMATH DE number 1145421
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The classification of naturally reductive homogeneous real hypersurfaces in complex projective space |
scientific article; zbMATH DE number 1145421 |
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The classification of naturally reductive homogeneous real hypersurfaces in complex projective space (English)
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22 November 1998
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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.
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homogeneous hypersurfaces
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naturally reductive homogeneous spaces
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real hypersurfaces
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complex projective space
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homogeneous structures
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