대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제19권4호
  • /
  • Pages.731-743
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  • 2004
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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THE HARMONIC DISTRIBUTIONS ON LIE GROUP

  • 발행 : 2004.10.01
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초록

Harmonic distribution is the distribution which has the minimal value of functional called energy. In this paper it is shown as a specific distribution of semisimple Lie group whose manifold is compact.

키워드

참고문헌

  1. B. Y. Choi and J. W. Yim, Distributions on Riemannian manifolds, which are Harmonic maps, Tohoku math. J. 55 (2003), 175-188. https://doi.org/10.2748/tmj/1113246937
  2. J. Eells and L. Lemaire, A report on harmonic maps, Bull. London Math. Soc. 10 (1978), 1-68. https://doi.org/10.1112/blms/10.1.1
  3. J. Eells, Another report on harmonic maps, Bull. London Math. Soc. 20 (1988), no. 5, 385-524. https://doi.org/10.1112/blms/20.5.385
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  6. J. J. Konderak, On harmonic vector field, Publ. Mat. 36 (1992), no. 1, 217-228. https://doi.org/10.5565/PUBLMAT_36192_17
  7. H. Urakawa, Calculus of variations and harmonic maps, 132 (1993) Amer. Math. Soc.
  8. C. M. Wood, The Gauss section of a Riemannian immersion, J. London math. Soc. 33 (1986), no. 2, 157-168 https://doi.org/10.1112/jlms/s2-33.1.157
  9. Z. Zhang, Best distributions on Riemannian manifolds and elastic deformations with constant principal strains, Ph. D. Thesis (1993).

피인용 문헌

  1. Two notes on harmonic distributions vol.37, 2014, https://doi.org/10.1016/j.difgeo.2014.09.006