Honam Mathematical Journal (호남수학학술지)

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A DECOMPOSITION OF THE CURVATURE TENSOR FIELD ON THE ABBENA-THURSTON MANIFOLD

  • Park, Joon-Sik (Department of Mathematics, Busan University of Foreign Studies)
  • Received : 2014.09.23
  • Accepted : 2014.10.29
  • Published : 2014.12.25
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Abstract

In this paper, we decompose the curvature tensor (field) on the Abbena-Thurston manifold into three curvature-like tensor fields, and investigate geometric properties.

Keywords

Acknowledgement

Supported by : Busan University of Foreign Studies

References

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  2. S. Kobayashi and K. Nomizu, Foundations of Differential Geometry, Vol. I, Wiley-Interscience, New York, 1963.
  3. J.-S. Park and Won Tae Oh, The Abbena-Thurston manifold as a critical point, Canad. Math. Bull. 39(3) (1996), 352-359. https://doi.org/10.4153/CMB-1996-042-3
  4. J.-S. Park, Curvatures on SU(3)=T (k; l), Kyushu J. Math. 67 (2013), 55-65. https://doi.org/10.2206/kyushujm.67.55