Abstract
A ruled real hypersurface in a complex space form is a real hypersurface having a codimension one foliation by totally geodesic complex hyperplanes of the ambient space. Our main purpose of this paper is to introduce a new viewpoint to investigate such hypersurfaces in complex hyperbolic space \(\mathbb {CH}^n\). As an application, we study minimal ruled real hypersurfaces in \(\mathbb {CH}^n\) and also those having constant scalar curvature.
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Dedicated to President of Shimane University Yasunao Hattori.
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Makoto Kimura is supported by JSPS KAKENHI Grant Number JP16K05119.
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Kimura, M., Maeda, S. & Tanabe, H. New construction of ruled real hypersurfaces in a complex hyperbolic space and its applications. Geom Dedicata 207, 227–242 (2020). https://doi.org/10.1007/s10711-019-00496-4
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DOI: https://doi.org/10.1007/s10711-019-00496-4