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arXiv · 1802.09341

Ruled hypersurfaces with constant mean curvature in complex space forms

Miguel Dominguez-Vazquez·Olga Perez-Barral
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Abstract

We show that ruled real hypersurfaces with constant mean curvature in the complex projective and hyperbolic spaces must be minimal. This provides their classification, by virtue of a result of Lohnherr and Reckziegel.

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Miguel Dominguez-Vazquez, Olga Perez-Barral. 2018-02-26. Ruled hypersurfaces with constant mean curvature in complex space forms. https://doi.org/10.1016/j.geomphys.2019.05.012

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