Invariant minimal unit vector fields on Lie groups

DOI10.1023/A:1010331408580zbMath0973.53045OpenAlexW1983632936MaRDI QIDQ5933690

Lieven Vanhecke, Kazumi Tsukada

Publication date: 13 June 2001

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

Full work available at URL: https://doi.org/10.1023/a:1010331408580

zbMATH Keywords

Lie groupinvariant minimal unit vector fieldsolvable metric Lie groups of Iwasawa typethe classical Heisenberg groupthree-dimensional Lie group

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Nilpotent and solvable Lie groups (22E25) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (9)

Minimal unit vector fields with respect to Riemannian natural metrics ⋮ On properties of the Reeb vector field of $(\alpha,\beta)$ trans-Sasakian structure ⋮ Relationship between volume and energy of vector fields. ⋮ Magnetic unit vector fields ⋮ Left-invariant minimal unit vector fields on the solvable Lie group ⋮ Higher-power harmonic maps and sections ⋮ 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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