On critical normal sections for two-dimensional immersions in R^sup n+2

On critical normal sections for two-dimensional immersions in R^sup n+2

We study orthonormal normal sections of two-dimensional immersions in R^sup n+2^, n ≥ 2, which are critical for a functional of total torsion and which we call Coulomb sections. In particular, we establish upper bounds for the torsion coefficients in the case of non-flat normal bundles. With these n...

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Veröffentlicht in:Calculus of variations and partial differential equations 2009-08, Vol.35 (4), p.497
Hauptverfasser: Fröhlich, Steffen, Müller, Frank
Format: Artikel
Sprache:eng
Schlagworte:
Calculus of variations
Partial differential equations
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Zusammenfassung:We study orthonormal normal sections of two-dimensional immersions in R^sup n+2^, n ≥ 2, which are critical for a functional of total torsion and which we call Coulomb sections. In particular, we establish upper bounds for the torsion coefficients in the case of non-flat normal bundles. With these notes we continue a foregoing paper on surfaces in R^sup 4^.[PUBLICATION ABSTRACT]
ISSN:0944-2669
1432-0835
DOI:10.1007/s00526-008-0217-y