Real Hypersurfaces of Complex Projective Spaces.
Sadahiro Maeda (1983)
Mathematische Annalen
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Sadahiro Maeda (1983)
Mathematische Annalen
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Takehiro Itoh, Sadahiro Maeda (2006)
Bulletin of the Polish Academy of Sciences. Mathematics
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We characterize totally η-umbilic real hypersurfaces in a nonflat complex space form M̃ₙ(c) (= ℂPⁿ(c) or ℂHⁿ(c)) and a real hypersurface of type (A₂) of radius π/(2√c) in ℂPⁿ(c) by observing the shape of some geodesics on those real hypersurfaces as curves in the ambient manifolds (Theorems 1 and 2).
Makoto Kimura, Sadahiro Maeda (1989)
Mathematische Zeitschrift
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H. Clemens (1987)
Annales scientifiques de l'École Normale Supérieure
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Leichtweiß, Kurt (1993)
Beiträge zur Algebra und Geometrie
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Kwang Sung Park (1989)
Mathematische Annalen
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Akivis, Maks A., Goldberg, Vladislav V. (1998)
Beiträge zur Algebra und Geometrie
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Alan Weinstein, Christpher B. Croke (1981)
Inventiones mathematicae
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Weiss, Gunter, Martini, Horst (2000)
Journal for Geometry and Graphics
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U. Abresch (1983)
Mathematische Annalen
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Pietro De Poi, Giovanna Ilardi (2019)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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This article presents the theory of focal locus applied to the hypersurfaces in the projective space which are (finitely) covered by linear spaces and such that the tangent space is constant along these spaces.
M.M. Kapranov (1991)
Mathematische Annalen
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T. de Jong, D. van Straten (1990)
Mathematische Annalen
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