Pinching and nonexistence of stable harmonic maps

DOI10.2748/tmj/1178228027zbMath0652.58021OpenAlexW1992301793MaRDI QIDQ1107184

Takashi Okayasu

Publication date: 1988

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178228027

zbMATH Keywords

stable harmonic map

Mathematics Subject Classification ID

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

Related Items (7)

Instability of spheres with deformed Riemannian metrics ⋮ On the instability of minimal submanifolds in Riemannian manifolds of positive curvature ⋮ Stable harmonic maps from pinched manifolds ⋮ Stability, complex-analyticity and constancy of pluriharmonic maps from compact Kaehler manifolds ⋮ On weakly stable Yang-Mills fields over positively pinched manifolds and certain symmetric spaces ⋮ Stability of exponentially harmonic maps ⋮ Regularity of minimizing harmonic maps into \(S^ 4\), \(S^ 5\) and symmetric spaces

Cites Work

• Unnamed Item
• Group actions and curvature
• Stability of harmonic maps and standard minimal immersions
• The nonexistence of stable submanifolds, varifolds, and harmonic maps in sufficiently pinched simply connected Riemannian manifolds
• On stable currents and their application to global problems in real and complex geometry
• Jacobi fields and Finsler metrics on compact Lie groups with an application to differentiable pinching problems
• A Note on Stable Harmonic Maps
• Nonexistence of Stable Harmonic Maps To and From Certain Homogeneous Spaces and Submanifolds of Euclidean Space

This page was built for publication: Pinching and nonexistence of stable harmonic maps