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JOURNALS // Lobachevskii Journal of Mathematics // Archive

Lobachevskii J. Math., 1999 Volume 3, Pages 113–125 (Mi ljm163)

This article is cited in 1 paper

Developable hypersurfaces and homogeneous spaces in a real projective space

G. Ishikawa

Hokkaido University

Abstract: 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.

Received: 27.07.1999

Language: English



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