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Classification Theorems for Biharmonic Real Hypersurfaces in a Complex Projective Space

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Abstract

First, we classify proper biharmonic Hopf real hypersurfaces in \({\mathbb {C}}P^2\). Next, we classify proper biharmonic real hypersurfaces with two distinct principal curvatures in \({\mathbb {C}}P^n\), where \(n\ge 2\). Finally, we prove that biharmonic ruled real hypersurfaces in \({\mathbb {C}}P^n\) are minimal, where \(n\ge 2\).

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  1. Center for Liberal Arts and Sciences, Hachinohe Institute of Technology, Hachinohe, Aomori, 031-8501, Japan

    Toru Sasahara

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  1. Toru Sasahara
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Correspondence to Toru Sasahara.

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Sasahara, T. Classification Theorems for Biharmonic Real Hypersurfaces in a Complex Projective Space. Results Math 74, 136 (2019). https://doi.org/10.1007/s00025-019-1062-3

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  • DOI: https://doi.org/10.1007/s00025-019-1062-3

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