TENSION FIELD AND INDEX FORM OF ENERGY-TYPE FUNCTIONALS

DOI10.1017/S0017089502001064zbMath1030.58007OpenAlexW1983231683MaRDI QIDQ4405993

Stefan Bechtluft-Sachs

Publication date: 9 February 2004

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

Full work available at URL: https://doi.org/10.1017/s0017089502001064

zbMATH Keywords

energygeneralized harmonic mapsBochner formulafirst and second variation

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20)

Related Items (6)

\(\sigma_2\)-energy as a polyconvex functional on a space of self-maps of annuli in the multi-dimensional calculus of variations ⋮ The existence of multiple topologically distinct solutions to \(\sigma_{2, p}\)-energy ⋮ Spherical twists as the \(\sigma_{2}\) harmonic maps from \(n\)-dimensional annuli into \(\mathbb {S}^{n-1}\) ⋮ On the geometrized Skyrme and Faddeev models ⋮ On critical points of the \(\sigma_2\)-energy over a space of measure preserving maps ⋮ Stability of natural energy functionals at Riemannian subimmersions

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