Bending and stretching unit vector fields in Euclidean and hyperbolic 3-space

DOI10.1007/s10455-008-9102-3zbMath1151.53060arXivmath/0612286OpenAlexW2054802237MaRDI QIDQ944914

Chris M. Wood

Publication date: 10 September 2008

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0612286

zbMATH Keywords

harmonic mapharmonic vector fieldhorospherependulum equationharmonic section

Mathematics Subject Classification ID

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

Cites Work

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• Harmonic Mappings of Spheres
• A New Iterative Scheme for the Solution of Partial Differential Equations Based on the Principle of Least Squares
• A Report on Harmonic Maps
• Harmonic characteristic vector fields on contact metric three-manifolds
• Harmonic Mappings of Riemannian Manifolds
• On the energy of a unit vector field
• The energy of unit vector fields on the 3-sphere
• Second variation of volume and energy of vector fields. Stability of Hopf vector fields
• Harmonic and minimal radial vector fields

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