On critical normal sections for two-dimensional immersions in

On critical normal sections for two-dimensional immersions in

We study orthonormal normal sections of two-dimensional immersions in , 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...

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Veröffentlicht in:Calculus of variations and partial differential equations 2009-08, Vol.35 (4), p.497-515
Hauptverfasser: Froehlich, Steffen, Mueller, Frank
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Bundles
Calculus of variations
Calculus of Variations and Optimal Control
Optimization
Control
Coulomb friction
Immersion
Mathematical analysis
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Systems Theory
Theoretical
Torsion
Two dimensional
Upper bounds
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Beschreibung
Zusammenfassung:We study orthonormal normal sections of two-dimensional immersions in , 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
ISSN:0944-2669
1432-0835
DOI:10.1007/s00526-008-0217-y