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Generating Curves of Minimal Ruled Real Hypersurfaces in a Nonflat Complex Space Form
Published online by Cambridge University Press: 09 January 2019
Abstract
We first provide a necessary and sufficient condition for a ruled real hypersurface in a nonflat complex space form to have constant mean curvature in terms of integral curves of the characteristic vector field on it. This yields a characterization of minimal ruled real hypersurfaces by circles. We next characterize the homogeneous minimal ruled real hypersurface in a complex hyperbolic space by using the notion of strong congruency of curves.
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- © Canadian Mathematical Society 2018
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