Biharmonic Hypersurfaces in Projective Spaces Revisited

We study biharmonic homogeneous real hypersurfaces in complex projective space and quaternion projective space. We provide a classification of biharmonic homogeneous real hypersurfaces in quaternion projective space. We also classify pseudo-harmonic, subelliptic biharmonic, and Levi-harmonic homogeneous Hopf hypersurfaces in complex space forms.

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Publication Details

Journal
International Electronic Journal of Geometry
Published
2025-10-13
DOI
https://doi.org/10.36890/iejg.1665105
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
Field-Weighted Citation Impact
0.00

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article

Biharmonic Hypersurfaces in Projective Spaces Revisited

Toru Sasahara, Jun-ichi Inoguchı
International Electronic Journal of Geometry
Geometric Analysis and Curvature Flows
article

Biharmonic Hypersurfaces in Projective Spaces Revisited

Toru Sasahara, Jun-ichi Inoguchı
article en

Abstract

We study biharmonic homogeneous real hypersurfaces in complex projective space and quaternion projective space. We provide a classification of biharmonic homogeneous real hypersurfaces in quaternion projective space. We also classify pseudo-harmonic, subelliptic biharmonic, and Levi-harmonic homogeneous Hopf hypersurfaces in complex space forms.

International Electronic Journal of GeometryVol. 18(2)
Hachinohe Institute of Technology (JP)
Japan Society for the Promotion of Science
Openalex Percentile: Top 60%
Geometric Analysis and Curvature Flows
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