Stability and local minimality of spherical harmonic twists \(u={\mathbf{Q}}(|x|) x|x|^{-1} \), positivity of second variations and conjugate points on \(\mathbf{SO}(n)\)
DOI10.1007/s41478-019-00180-6zbMath1444.35050OpenAlexW3024418834MaRDI QIDQ779791
Publication date: 14 July 2020
Published in: The Journal of Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s41478-019-00180-6
conjugate pointsharmonic mapscompact Lie groupspositive second variationsstrong local minimisersWeierstrass excess function
Variational methods for elliptic systems (35J50) Applications of differential geometry to physics (53Z05) Differential geometric aspects of harmonic maps (53C43) Compact groups (22C05) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30) Second-order elliptic systems (35J47)
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