Kodai Mathematical Journal
- Kodai Math. J.
- Volume 39, Number 1 (2016), 119-128.
Ruled real hypersurfaces having the same sectional curvature as that of an ambient nonflat complex space form
Ruled real hypersurfaces in a nonflat complex space form (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 (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 (c).
Kodai Math. J., Volume 39, Number 1 (2016), 119-128.
First available in Project Euclid: 22 March 2016
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Maeda, Sadahiro; Tanabe, Hiromasa; Kim, Young Ho. Ruled real hypersurfaces having the same sectional curvature as that of an ambient nonflat complex space form. Kodai Math. J. 39 (2016), no. 1, 119--128. doi:10.2996/kmj/1458651695. https://projecteuclid.org/euclid.kmj/1458651695