Integral curves of the characteristic vector field of minimal ruled real hypersurfaces in non-flat complex space forms

Makoto KIMURA; Sadahiro MAEDA; Hiromasa TANABE

doi:10.14492/hokmj/1573722019

Abstract

The purpose of this paper is to give geometric characterizations of minimal ruled real hypersurfaces $M$ in a non-flat complex space form by paying particular attention to integral curves of the characteristic vector field on $M$.

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Makoto KIMURA. Sadahiro MAEDA. Hiromasa TANABE. "Integral curves of the characteristic vector field of minimal ruled real hypersurfaces in non-flat complex space forms." Hokkaido Math. J. 48 (3) 589 - 609, October 2019. https://doi.org/10.14492/hokmj/1573722019

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Published: October 2019

First available in Project Euclid: 14 November 2019

zbMATH: 07145331

MathSciNet: MR4031253

Digital Object Identifier: 10.14492/hokmj/1573722019

Subjects:

Primary: 53B25

Secondary: 53C40

Keywords: complex hyperbolic space , constant principal curvatures , homogeneous real hypersurfaces , homogeneous ruled real hypersurface , Minimal

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