On biharmonic submanifolds in non-positively curved manifolds

DOI10.1016/j.geomphys.2014.11.004zbMath1307.53047arXiv1306.6069OpenAlexW2048969628MaRDI QIDQ2514135

Yong Luo

Publication date: 30 January 2015

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.6069

zbMATH Keywords

nonexistenceminimal submanifoldsbiharmonic submanifoldsgeneralized Chen conjecture

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Differential geometric aspects of harmonic maps (53C43)

Related Items (10)

The maximal principle for properly immersed submanifolds and its applications ⋮ Biharmonic maps from tori into a 2-sphere ⋮ Some recent progress of biharmonic submanifolds ⋮ Biharmonic maps and biharmonic submanifolds with small curvature integral ⋮ Some classifications of biharmonic hypersurfaces with constant scalar curvature ⋮ Some results of \(p\)-biharmonic submanifolds in a Riemannian manifold of non-positive curvature ⋮ Biharmonic hypersurfaces with bounded mean curvature ⋮ A note on rigidity of spacelike self-shrinkers ⋮ Biharmonic hypersurfaces in a sphere ⋮ Unnamed Item

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