On the stability of a three-sphere

DOI10.2996/kmj/1138038994zbMath0684.53038OpenAlexW2145952724MaRDI QIDQ1825448

Hideo Muto

Publication date: 1989

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

Full work available at URL: https://doi.org/10.2996/kmj/1138038994

zbMATH Keywords

stabilityenergy functional3-sphere

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (1)

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

Cites Work

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• Some functions on the set of triangles or quadrangles
• Stability of harmonic maps and standard minimal immersions
• The existence of negatively Ricci curved metrics on three manifolds
• Instability of spheres with deformed Riemannian metrics
• The first eigenvalue of the Laplacian on even dimensional spheres
• On the least positive eigenvalue of Laplacian for compact homogeneous spaces
• The first eigenvalue of the Laplacian on spheres
• On the least positive eigenvalue of the Laplacian for compact group manifolds
• Stability of Harmonic Maps and Eigenvalues of the Laplacian
• The Second Variation Formula for Harmonic Mappings

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