Biharmonic maps between warped product manifolds

DOI10.1016/j.geomphys.2006.03.012zbMath1108.58011OpenAlexW2017750069MaRDI QIDQ864246

Stefano Montaldo, Cezar Dumitru Oniciuc, Adina Balmuş

Publication date: 13 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2006.03.012

zbMATH Keywords

harmonic mapsbiharmonic mapswarped products

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20)

Related Items (24)

Conformal maps, biharmonic maps, and the warped product ⋮ Biharmonic maps from tori into a 2-sphere ⋮ Biharmonic maps from a 2-sphere ⋮ Unnamed Item ⋮ On \(f\)-bi-harmonic maps and bi-\(f\)-harmonic maps between Riemannian manifolds ⋮ Some constructions of biharmonic maps and Chen's conjecture on biharmonic hypersurfaces ⋮ Some properties of biwave maps ⋮ Unnamed Item ⋮ A note on equivariant biharmonic maps and stable biharmonic maps ⋮ Bi-\(f\)-harmonic map equations on singly warped product manifolds ⋮ \(p\)-biharmonic maps between warped product manifolds ⋮ Biharmonic maps in two dimensions ⋮ Some constructions of biharmonic maps on the warped product manifolds ⋮ A general approach to equivariant biharmonic maps ⋮ The second variational formula of the \(k\)-energy and \(k\)-harmonic curves ⋮ \(f\)-harmonic maps of doubly warped product manifolds ⋮ The stress-energy tensor for biharmonic maps ⋮ Biharmonic Riemannian submersions ⋮ Harmonic and Biharmonic Maps at Iaşi ⋮ Equivariant biharmonic maps between manifolds with metrics of signature ⋮ Stability of Sacks-Uhlenbeck Biharmonic Maps ⋮ Unnamed Item ⋮ Some recent work on biharmonic conformal maps ⋮ Rotationally symmetric biharmonic maps between models

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Biharmonic submanifolds in spheres.
• Harmonic morphisms between Riemannian manifolds
• On constructing biharmonic maps and metrics
• On Riemannian manifolds admitting a function whose gradient is of constant norm
• \(p\)-harmonic morphisms, biharmonic morphisms, and nonharmonic biharmonic maps
• Harmonic Maps and Minimal Immersions with Symmetries (AM-130)
• Stability of Biharmonic Legendrian Submanifolds in Sasakian Space Forms
• On the biharmonic and harmonic indices of the Hopf map
• The index of biharmonic maps in spheres
• Compact Einstein warped product spaces with nonpositive scalar curvature
• BIHARMONIC SUBMANIFOLDS OF ${\mathbb S}^3$
• New examples of biharmonic maps in spheres
• HOLOMORPHIC FOLIATIONS, HARMONIC MORPHISMS AND THE WALCZAK FORMULA
• Submanifolds with harmonic mean curvature vector field in contact 3-manifolds
• Manifolds of Negative Curvature
• Harmonic Mappings of Riemannian Manifolds

This page was built for publication: Biharmonic maps between warped product manifolds