Kodai Mathematical Journal
Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991
Ruled real hypersurfaces having the same sectional curvature as that of an ambient nonflat complex space form
Sadahiro MaedaHiromasa TanabeYoung Ho Kim
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2016 Volume 39 Issue 1 Pages 119-128

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Abstract
Ruled real hypersurfaces in a nonflat complex space form $\widetilde{M}$n(c) (n ≥ 2) are obtained by having a one-codimensional foliation whose leaves are totally geodesic complex hypersurfaces of the ambient space. Motivated by a fact that the sectional curvature K of every ruled real hypersurface M in $\widetilde{M}$n(c) (n ≥ 3) satisfies |c/4| ≤ |K(X, Y)| ≤ |c| for an arbitrary pair of orthonormal vectors X and Y that are tangent to the leaf at each point x of M, we study ruled real hypersurfaces having the sectional curvature K with |c/4| ≤ |K| ≤ |c| in $\widetilde{M}$n(c).
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© 2016 Department of Mathematics, Tokyo Institute of Technology
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