Geodesic
Developable hypersurfaces and homogeneous spaces in a~real projective space
Lobachevskii journal of mathematics, Tome 3 (1999), pp. 113-125

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We present new examples of non-singular developable hypersurfaces, which are algebraic and homogeneous, in real projective spaces. Moreover we give a characterization of compact homogeneous developable hypersurfaces, using the theory of isoparametric hypersurfaces.
Keywords: projective duality, Cayley's octonians, Veronese embedding, Jordan algebra, Monge–Ampère foliation, Severi variety, isoparametric hypersurface. 
@article{LJM_1999_3_a5,
     author = {G. Ishikawa},
     title = {Developable hypersurfaces and homogeneous spaces in a~real projective space},
     journal = {Lobachevskii journal of mathematics},
     pages = {113--125},
     publisher = {mathdoc},
     volume = {3},
     year = {1999},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/LJM_1999_3_a5/}
}
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G. Ishikawa. Developable hypersurfaces and homogeneous spaces in a~real projective space. Lobachevskii journal of mathematics, Tome 3 (1999), pp. 113-125. http://geodesic.mathdoc.fr/item/LJM_1999_3_a5/