Biharmonic holomorphic maps into Kähler manifolds

DOI10.1016/j.geomphys.2017.04.009zbMath1369.58011OpenAlexW2609504383MaRDI QIDQ2360612

Deliang Han

Publication date: 4 July 2017

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2017.04.009

zbMATH Keywords

holomorphic mapsKähler manifoldsbiharmonic mapssecond variation formulaholomorphic bisectional curvature

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20)

Cites Work

• Liouville-type theorems on complete manifolds and non-existence of bi-harmonic maps
• Remarks on the nonexistence of biharmonic maps
• Some constructions of biharmonic maps and Chen's conjecture on biharmonic hypersurfaces
• Biharmonic holomorphic maps and conformally Kähler geometry
• A mapping of Riemannian manifolds which preserves harmonic functions
• Harmonic morphisms between Riemannian manifolds
• Biharmonic maps into a Riemannian manifold of non-positive curvature
• Biharmonic maps from a complete Riemannian manifold into a non-positively curved manifold
• Liouville-type theorems for biharmonic maps between Riemannian manifolds
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