Two results for symphonic maps under assumptions on \(m\)-symphonic energy

DOI10.1007/s00025-022-01741-1zbMath1498.58017OpenAlexW4296120354WikidataQ114231934 ScholiaQ114231934MaRDI QIDQ2082062

Nobumitsu Nakauchi

Publication date: 30 September 2022

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-022-01741-1

zbMATH Keywords

variational problemgap theoremLiouville-type theoremsymphonic mappullback of metric

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20) Variational problems in infinite-dimensional spaces (58E99)

Cites Work

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• A Hölder continuity of symphonic maps into the spheres
• A Hölder continuity of minimizing symphonic maps
• Some results for stationary maps of a functional related to pullback metrics
• A variational problem for pullback metrics
• Stability of stationary maps of a functional related to pullbacks of metrics
• A monotonicity formula for Yang-Mills fields
• Global existence for the heat flow of symphonic maps into spheres
• Regularity of the \(m\)-symphonic map
• Results of Liouville type for symphonic maps
• Another Report on Harmonic Maps
• A Report on Harmonic Maps
• A remark on p-harmonic maps

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