The identity map as a harmonic map of a \((4r+3)\)-sphere with deformed metrics

DOI10.2996/kmj/1138039781zbMath0808.53042OpenAlexW1980631048MaRDI QIDQ1316508

Shukichi Tanno

Publication date: 16 March 1995

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

Full work available at URL: https://doi.org/10.2996/kmj/1138039781

zbMATH Keywords

Hopf fibrationidentity mapharmonic instability

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Harmonic maps, etc. (58E20)

Related Items (1)

TOPOLOGICALLY MASSIVE ABELIAN GAUGE THEORY

Cites Work

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• Some functions on the set of triangles or quadrangles
• Some results on stable harmonic maps
• Stability of harmonic maps and standard minimal immersions
• Instability of spheres with deformed Riemannian metrics
• Some metrics on a (4r+3)-sphere and spectra
• The first eigenvalue of the Laplacian on spheres
• On the least positive eigenvalue of the Laplacian for compact group manifolds
• On the stability of a three-sphere
• Stability of Harmonic Maps and Eigenvalues of the Laplacian
• The Second Variation Formula for Harmonic Mappings

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