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A DECOMPOSITION OF THE CURVATURE TENSOR FIELD ON THE ABBENA-THURSTON MANIFOLD
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  • Journal title : Honam Mathematical Journal
  • Volume 36, Issue 4,  2014, pp.795-803
  • Publisher : The Honam Mathematical Society
  • DOI : 10.5831/HMJ.2014.36.4.795
 Title & Authors
A DECOMPOSITION OF THE CURVATURE TENSOR FIELD ON THE ABBENA-THURSTON MANIFOLD
Park, Joon-Sik;
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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
Abbena-Thurston manifold;curvature-like tensor (field);Weyl tensor;Ricci tensor;
 Language
English
 Cited by
 References
1.
E. Abbena, An example of an almost Kaehler manifold which is not Kaehlerian, Bollettino U.M.I. 3-A (1984), 383-392.

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. crossref(new window)

4.
J.-S. Park, Curvatures on SU(3)=T (k; l), Kyushu J. Math. 67 (2013), 55-65. crossref(new window)