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Left-invariant minimal unit vector fields on a Lie group of constant negative sectional curvature

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초록

We find all left-invariant minimal unit vector fields and strongly normal unit vector fields on a Lie group which is isometric to the hyperbolic space.

Abstract

We find all left-invariant minimal unit vector fields and strongly normal unit vector fields on a Lie group which is isometric to the hyperbolic space.

참고문헌 (13)

  1. E. Boeckx, "Harmonic and minimal radial vector fields", Acta Math. Hungar, 90(4), pp.317~331 (2001)
  2. E. Boeckx, "Harmonic and minimal vector fields on tangent and unit tangent bundles", Differential Geom. Appl, 13(1), pp.77~93 (2000)
  3. O. Gil-Medriano, "Minimal unit vector fields", Tohoku Math. J., 54(1), pp.71~84 (2002)
  4. O. Gil-Medriano, "Second variation of volume and energy of vector fields. Stability of Hopf vector fields", Math. Ann, 320(3), pp.531~545 (2001)
  5. J. C. Gonzalez-Davila, "Examples of minimal unit vector fields", Ann. Global Anal. Geom, 18(3), pp.385~404 (2000)
  6. J. C. Gonzalez-Davila, "Minimal and harmonic characteristic vector fields on three-dimensional contact metric manifolds", J. Geom, 72(1), pp.65~76 (2001)
  7. H. Gluck, "On the volume of a unit vector field on the three-sphere", Comment. Math. Helv, 61(2), pp.177~192 (1986)
  8. D. L. Johnson, "Volumes of flows", Proc. Amer. Math. Soc, 104(3), pp.923~931 (1988)
  9. J. Milnor, "Curvatures of left invariant metrics on Lie groups", Advances in Math, 21(3), pp.293~329 (1976)
  10. S. L. Pedersen, "Volumes of vector fields on spheres", Trans. Amer. Math. Soc, 336(1), pp.69~78 (1993)
  11. W. A. Poor, "Differential Geometric Structures" (1981), McGraw-Hill Book Co
  12. M. Salvai, "On the volume of unit vector fields on a compact semi-simple lie group", Journal of Lie Theory, 13, pp.455~462 (2003)
  13. K. Tsukada, "Invariant minimal unit vector fields on Lie groups", Period. Math. Hungar, 40(2), pp.123~133 (2000)

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