Harmonic and minimal radial vector fields

DOI10.1023/A:1010687231629zbMath1012.53040OpenAlexW1869271502MaRDI QIDQ5948308

Lieven Vanhecke, Eric Boeckx

Publication date: 5 November 2001

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1010687231629

zbMATH Keywords

harmonic and minimal unit vector fields

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items (12)

Relationship between volume and energy of vector fields. ⋮ Left-invariant minimal unit vector fields on the solvable Lie group ⋮ Bending and stretching unit vector fields in Euclidean and hyperbolic 3-space ⋮ Harmonicity and minimality of complex and quaternionic radial foliations ⋮ Unnamed Item ⋮ Harmonicity and minimality of oriented distributions ⋮ Invariant harmonic unit vector fields on the oscillator groups ⋮ Harmonic radial vector fields on harmonic spaces ⋮ Stability of Left-Invariant Totally Geodesic Unit Vector Fields on Three-Dimensional Lie Groups ⋮ Isoparametric functions, harmonic and minimal unit vector fields in K-contact geometry ⋮ Minimal unit vector fields ⋮ Energy and volume of unit vector fields on three-dimensional Riemannian manifolds.

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