Examples of minimal unit vector fields

DOI10.1023/A:1006788819180zbMath1005.53026OpenAlexW1607423200MaRDI QIDQ1586059

Lieven Vanhecke, José Carmelo González-Dávila

Publication date: 17 February 2003

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

Full work available at URL: https://doi.org/10.1023/a:1006788819180

zbMATH Keywords

geodesicnormalstrongly normal and minimal vector fields

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global Riemannian geometry, including pinching (53C20)

Related Items (15)

MINIMALITY, HARMONICITY AND CR GEOMETRY FOR REEB VECTOR FIELDS ⋮ Stability of the Reeb vector field of \(H\)-contact manifolds ⋮ On properties of the Reeb vector field of $(\alpha,\beta)$ trans-Sasakian structure ⋮ Relationship between volume and energy of vector fields. ⋮ Left-invariant minimal unit vector fields on the solvable Lie group ⋮ Harmonicity and minimality of oriented distributions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the geometry of tangent hyperquadric bundles: CR and pseudoharmonic vector fields ⋮ Invariant harmonic unit vector fields on the oscillator groups ⋮ Unnamed Item ⋮ Harmonic characteristic vector fields on contact metric three-manifolds ⋮ Stability of Left-Invariant Totally Geodesic Unit Vector Fields on Three-Dimensional Lie Groups ⋮ Minimal unit vector fields ⋮ Energy and volume of unit vector fields on three-dimensional Riemannian manifolds.

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