Biharmonic hypersurfaces in pseudo-Riemannian space forms with at most two distinct principal curvatures

DOI10.1155/2020/2182975zbMath1448.53066OpenAlexW3046901829WikidataQ115243880 ScholiaQ115243880MaRDI QIDQ2198800

Chao Yang, Jiancheng Liu

Publication date: 15 September 2020

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/2182975

zbMATH Keywords

biharmonic submanifoldChen's conjecture, pseudo-Riemannian manifold

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Differential geometric aspects of harmonic maps (53C43)

Cites Work

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• Biharmonic submanifolds of pseudo-Riemannian manifolds
• Biharmonic hypersurfaces of the 4-dimensional semi-Euclidean space \(\mathbb E_s^4\)
• Biharmonic Lorentz hypersurfaces in \(E^4_1\)
• Hypersurfaces in \(\mathbb E_s^{n+1}\) satisfying \(\Delta\overrightarrow H=\lambda\overrightarrow H\) with at most three distinct principal curvatures
• Classification of proper biharmonic hypersurfaces in pseudo-Riemannian space forms
• Biharmonic hypersurfaces in pseudo-Riemannian space forms
• BIHARMONIC SUBMANIFOLDS IN NONFLAT LORENTZ 3-SPACE FORMS
• Total Mean Curvature and Submanifolds of Finite Type
• BIHARMONIC SURFACES IN PSEUDO-EUCLIDEAN SPACES
• BIHARMONIC PSEUDO-RIEMANNIAN SUBMANIFOLDS IN PSEUDO-EUCLIDEAN SPACES

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