References
- E. Boeckx and L. Vanhecke, Harmonic and minimal radial vector fields, Acta Math. Hungar. 90 (2001), no. 4, 317–331 https://doi.org/10.1023/A:1010687231629
- E. Boeckx and L. Vanhecke, Harmonic and minimal vector fields on tangent and unit tangent bundles, Differential Geom. Appl. 13 (2000), no. 1, 77–93 https://doi.org/10.1016/S0926-2245(00)00021-8
- O. Gil-Medriano and E. Llinares-Fuster, Minimal unit vector fields, Tohoku Math. J. (2) 54 (2002), no. 1, 71–84 https://doi.org/10.2748/tmj/1113247180
- O. Gil-Medriano and E. Llinares-Fuster, Second variation of volume and energy of vector fields. Stability of Hopf vector fields, Math. Ann. 320 (2001), no. 3, 531–545 https://doi.org/10.1007/PL00004485
- J. C. Gonzalez-Davila and L. Vanhecke, Examples of minimal unit vector fields, Ann. Global Anal. Geom. 18 (2000), no. 3-4, 385–404 https://doi.org/10.1023/A:1006788819180
- J. C. Gonzalez-Davila and L. Vanhecke, Minimal and harmonic characteristic vector fields on three-dimensional contact metric manifolds, J. Geom. 72 (2001), no. 1-2, 65–76 https://doi.org/10.1007/s00022-001-8570-4
- H. Gluck and W. Ziller, On the volume of a unit vector field on the three-sphere, Comment. Math. Helv. 61 (1986), no. 2, 177–192 https://doi.org/10.1007/BF02621910
- D. L. Johnson, Volumes of flows, Proc. Amer. Math. Soc. 104 (1988), no. 3, 923–931
- J. Milnor, Curvatures of left invariant metrics on Lie groups, Advances in Math. 21 (1976), no. 3, 293–329 https://doi.org/10.1016/S0001-8708(76)80002-3
- S. L. Pedersen, Volumes of vector fields on spheres, Trans. Amer. Math. Soc. 336 (1993), no. 1, 69–78
- W. A. Poor, Differential Geometric Structures, McGraw-Hill Book Co., New York, 1981
- M. Salvai, On the volume of unit vector fields on a compact semi-simple lie group, Journal of Lie Theory 13 (2003), 455–462
- K. Tsukada and L. Vanhecke, Invariant minimal unit vector fields on Lie groups, Period. Math. Hungar. 40 (2000), no. 2, 123–133 https://doi.org/10.1023/A:1010331408580
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