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Isoparametric hypersurfaces with less than four principal curvatures in a sphere

100%
Adachi T., Maeda S.
Colloquium Mathematicum
|
2006
|
tom 105
|
nr 1
143-148
EN
We characterize Clifford hypersurfaces and Cartan minimal hypersurfaces in a sphere by some properties of extrinsic shapes of their geodesics.
2
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Shape Operators and Structure Tensors of Real Hypersurfaces in Nonflat Quaternionic Space Forms

100%
Maeda S., Adachi T.
Bulletin of the Polish Academy of Sciences. Mathematics
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2004
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tom 52
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nr 3
319-328
EN
We characterize curvature-adapted real hypersurfaces in nonflat quaternionic space forms in terms of their shape operators and structure tensors.
3
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A Useful Characterization of Some Real Hypersurfaces in a Nonflat Complex Space Form

100%
Itoh T., Maeda S.
Bulletin of the Polish Academy of Sciences. Mathematics
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2006
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tom 54
|
nr 2
125-136
EN
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).
4
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Real hypersurfaces in a nonflat complex space form and their almost contact metric structures

100%
Kim Y., Maeda S.
Colloquium Mathematicum
|
2011
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tom 124
|
nr 1
117-131
EN
We characterize homogeneous real hypersurfaces of types (A₀), (A₁) and (B) in a complex projective space or a complex hyperbolic space.
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