Geometry of \(F\)-harmonic maps

DOI10.2996/kmj/1138044045zbMath0941.58010OpenAlexW2125609862MaRDI QIDQ1807697

Mitsunori Ara

Publication date: 14 December 1999

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138044045

zbMATH Keywords

second variationfirst variation\(F\)-energy functional\(F\)-harmonic mapsstress energy tensorhorizontally conformal

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20)

Related Items (26)

\(\mathcal F\)-harmonic maps between doubly warped product manifolds ⋮ Liouville theorems for \(F\)-harmonic maps and their applications ⋮ Some types of $f$-biharmonic and bi-$f$-harmonic curves ⋮ Comparison Theorems in Riemannian Geometry with Applications ⋮ Unnamed Item ⋮ Nonexistence of stable \(F\)-stationary maps of a functional related to pullback metrics ⋮ Some properties of \(F\)-harmonic maps ⋮ Optimal a priori discretization error bounds for geodesic finite elements ⋮ Liouville-type results for stationary maps of a class of functional related to pullback metrics ⋮ Second variation formula and stability of exponentially subelliptic harmonic maps ⋮ On some curves in three-dimensional \(\beta\)-Kenmotsu manifolds ⋮ \(f\)-harmonic morphisms between Riemannian manifolds ⋮ The nonexistence theorems for \(F\)-harmonic maps and \(F\)-Yang-Mills fields ⋮ \(F\)-harmonic maps as global maxima ⋮ Variational equations on mixed Riemannian-Lorentzian metrics ⋮ On the geometrized Skyrme and Faddeev models ⋮ On vanishing theorems for vector bundle valued \(p\)-forms and their applications ⋮ Unnamed Item ⋮ Liouville-type theorems for \(CC\)-\(F\)-harmonic maps into a Carnot group ⋮ Maps and fields with compressible density ⋮ On a class of mappings between Riemannian manifolds ⋮ Dualities in comparison theorems and bundle-valued generalized harmonic forms on noncompact manifolds ⋮ Some Results of $f$-Harmonic and Bi-$f$-Harmonic Maps with Potential ⋮ Stability of natural energy functionals at Riemannian subimmersions ⋮ An invitation to modern group analysis of differential equations ⋮ \(F\)-biharmonic maps into general Riemannian manifolds

Cites Work

• The existence of minimal immersions of 2-spheres
• \(p\)-harmonic maps and minimal submanifolds
• Some conformal properties of \(p\)-harmonic maps and a regularity for sphere-valued \(p\)-harmonic maps
• On the existence and conformal equivalence of extremal maps of various types
• On Representing Homotopy Classes by Harmonic Maps
• On the Conformal Equivalence of Harmonic Maps and Exponentially Harmonic Maps
• Some results on stable p-harmonic maps
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Geometry of \(F\)-harmonic maps