Stability of Harmonic Maps and Eigenvalues of the Laplacian

DOI10.2307/2000659zbMath0621.58010OpenAlexW4244324725MaRDI QIDQ3757016

Hajime Urakawa

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2000659

zbMATH Keywords

harmonic mapsindexRiemannian submersionsnullityfirst eigenvalue of the LaplacianHopf fiberingMorse-Schoenberg theorem

Mathematics Subject Classification ID

Harmonic maps, etc. (58E20) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items

Instability of spheres with deformed Riemannian metrics, Lower bounds on the energy of maps, Kähler manifolds with real holomorphic vector fields, Eigenvalue estimates on quaternion-Kähler manifolds, Harmonic maps from \(S^3\) into \(S^2\) with low Morse index, Unit vector fields of minimum energy on quotients of spheres and stability of the Reeb vector field, First eigenvalue of the $p$-Laplacian on Kähler manifolds, On the strong coupling limit of the Faddeev-Hopf model, From vanishing theorems to estimating theorems: the Bochner technique revisited, Lower bounds for the first eigenvalue of the Laplacian on Kähler manifolds, Spectral geometry for Riemannian foliations, The energy of unit vector fields on the 3-sphere, Supercurrent coupling in the Faddeev-Skyrme model, On the geometrized Skyrme and Faddeev models, On the biharmonic and harmonic indices of the Hopf map, Stability of contact metric manifolds and unit vector fields of minimum energy, Unnamed Item, Unnamed Item, On the stability of a three-sphere, Harmonic sections of vector bundles with spherically symmetric metrics, On the equivariant stability of harmonic self-maps of cohomogeneity one manifolds, Stability of natural energy functionals at Riemannian subimmersions, The identity map as a harmonic map of a \((4r+3)\)-sphere with deformed metrics, Upper bounds for the index of minimal surfaces

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