On \(p\)-biharmonic submanifolds in nonpositively curved manifolds

DOI10.2996/KMJ/1478073773zbMath1355.53015OpenAlexW2548928474MaRDI QIDQ502124

Yong Luo, Xiangzhi Cao

Publication date: 30 December 2016

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1478073773

zbMATH Keywords

Liouville-type theoremChen's conjecture\(p\)-biharmonic submanifolds

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local submanifolds (53B25)

Related Items (7)

The maximal principle for properly immersed submanifolds and its applications ⋮ Nonexistence of proper \(p\)-biharmonic maps and Liouville type theorems. I: Case of \(p\ge 2\) ⋮ Biharmonic hypersurfaces in a sphere ⋮ On the \(p\)-harmonic and \(p\)-biharmonic maps ⋮ Unnamed Item ⋮ Rigidity properties of \(p\)-biharmonic maps and \(p\)-biharmonic submanifolds ⋮ \(F\)-biharmonic maps into general Riemannian manifolds

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