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Lobachevskii Journal of Mathematics, 1999, Volume 3, Pages 113–125 (Mi ljm163)  

This article is cited in 1 scientific paper (total in 1 paper)

Developable hypersurfaces and homogeneous spaces in a real projective space

G. Ishikawa

Hokkaido University
Full-text PDF (173 kB) Citations (1)
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
Bibliographic databases:
Language: English
Citation: G. Ishikawa, “Developable hypersurfaces and homogeneous spaces in a real projective space”, Lobachevskii J. Math., 3 (1999), 113–125
Citation in format AMSBIB
\Bibitem{Ish99}
\by G.~Ishikawa
\paper Developable hypersurfaces and homogeneous spaces in a~real projective space
\jour Lobachevskii J. Math.
\yr 1999
\vol 3
\pages 113--125
\mathnet{http://mi.mathnet.ru/ljm163}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1743134}
\zmath{https://zbmath.org/?q=an:0955.53035}
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  • https://www.mathnet.ru/eng/ljm163
  • https://www.mathnet.ru/eng/ljm/v3/p113
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Lobachevskii Journal of Mathematics
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    Full-text PDF :125
     
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