The geometry of \(\Phi_S\)-harmonic maps

DOI10.1007/s12220-021-00612-5zbMath1471.58020OpenAlexW3130513050MaRDI QIDQ1979199

Shuxiang Feng, Xiao Li, Ying Bo Han, Shihshu Walter Wei

Publication date: 2 September 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-021-00612-5

zbMATH Keywords

conformal mapsvariation formulaLiouville type results\(\Phi\)-SSU manifold

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Harmonic maps, etc. (58E20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (2)

The geometry of \(\Phi_{( 3 )}\)-harmonic maps ⋮ Liouville type theorems and stability of \(\Phi_{S,p}\)-harmonic maps

Cites Work

• Liouville-type results for stationary maps of a class of functional related to pullback metrics
• On vanishing theorems for vector bundle valued \(p\)-forms and their applications
• Function theory on manifolds which possess a pole
• Some results for stationary maps of a functional related to pullback metrics
• A variational problem related to conformal maps
• A variational problem for pullback metrics
• Stability of stationary maps of a functional related to pullbacks of metrics
• Stress-energy tensors and the Lichnerowicz Laplacian
• Stability of harmonic maps and standard minimal immersions
• On instability of Yang-Mills connections
• Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature
• The spectrum of the Laplacian of manifolds of positive curvature
• Liouville theorems for harmonic maps
• Regularity of \(p\)-energy minimizing maps and \(p\)-superstrongly unstable indices
• A variation problem for stress-energy tensor
• Minimal immersions of Riemannian manifolds
• Liouville theorems for \(F\)-harmonic maps and their applications
• Monotonicity formulae and holomorphicity of harmonic maps between Kähler manifolds
• On the Existence and Nonexistence of Stable Submanifolds and Currents in Positively Curved Manifolds and the Topology of Submanifolds in Euclidean Spaces
• A Report on Harmonic Maps
• Representing homotopy groups and spaces of maps by p-harmonic maps
• Instability and nonexistence theorems for \(F\)-harmonic maps
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