Geodesic
Generating Curves of Minimal Ruled Real Hypersurfaces in a Nonflat Complex Space Form
Canadian mathematical bulletin, Tome 62 (2019) no. 2, pp. 383-392

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DOI

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.
DOI : 10.4153/CMB-2018-032-6
Mots-clés : nonflat complex space form, minimal ruled real hypersurface, constant mean curvature, integral curves of the characteristic vector field 
Maeda, Sadahiro; Tanabe, Hiromasa; Udagawa, Seiichi. Generating Curves of Minimal Ruled Real Hypersurfaces in a Nonflat Complex Space Form. Canadian mathematical bulletin, Tome 62 (2019) no. 2, pp. 383-392. doi: 10.4153/CMB-2018-032-6
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     author = {Maeda, Sadahiro and Tanabe, Hiromasa and Udagawa, Seiichi},
     title = {Generating {Curves} of {Minimal} {Ruled} {Real} {Hypersurfaces} in a {Nonflat} {Complex} {Space} {Form}},
     journal = {Canadian mathematical bulletin},
     pages = {383--392},
     year = {2019},
     volume = {62},
     number = {2},
     doi = {10.4153/CMB-2018-032-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2018-032-6/}
}
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%J Canadian mathematical bulletin
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