Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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A DECOMPOSITION OF THE CURVATURE TENSOR ON SU(3)=T (k, l) WITH A SU(3)-INVARIANT METRIC

  • Son, Heui-Sang (Department of Applied Mathematics Pukyong National University) ;
  • Park, Joon-Sik (Department of Mathematics Pusan University of Foreign Studies) ;
  • Pyo, Yong-Soo (Department of Applied Mathematics Pukyong National University)
  • Received : 2014.12.11
  • Accepted : 2015.04.29
  • Published : 2015.05.15
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Abstract

In this paper, we decompose the curvature tensor (field) on the homogeneous Riemannian manifold SU(3)=T (k, l) with an arbitrarily given SU(3)-invariant Riemannian metric into three curvature-like tensor fields, and investigate geometric properties.

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References

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