A variational problem related to conformal maps

zbMath1230.53039MaRDI QIDQ645095

Nobumitsu Nakauchi

Publication date: 8 November 2011

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1317044944

zbMATH Keywords

conformal mapvariational formulamonotonicity formulaBochner type formula

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items

Stress energy tensor of C-stationary maps, Conformality of rotationally symmetric maps, Nonexistence of stable \(F\)-stationary maps of a functional related to pullback metrics, Weak conformality of stable stationary maps for a functional related to conformality, Unnamed Item, Stability of stationary maps of a functional related to pullbacks of metrics, Vanishing theorems for \(f\)-\(CC\) stationary maps with potential \(H\) into Grushin spaces, Some results for stationary maps of a functional related to pullback metrics, The geometry of \(\Phi_S\)-harmonic maps, Liouville type theorems and stability of \(\Phi_{S,p}\)-harmonic maps, A variational problem for pullback metrics, Regularity of the \(m\)-symphonic map, A variation problem for stress-energy tensor, Symphonic join of maps between the spheres, \(\Phi\)-harmonic maps and \(\Phi\)-superstrongly unstable manifolds, Two examples of harmonic maps into spheres

Cites Work

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• Geometry of harmonic maps
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• A Report on Harmonic Maps