Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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TORSION TENSOR FORMS ON INDUCED BUNDLES

  • Kim, Hyun Woong (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 : 2013.08.01
  • Accepted : 2013.10.28
  • Published : 2013.11.15
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Abstract

Let ${\phi}$ be a map of a manifold M into another manifold N, L(N) the bundle of all linear frames over N, and ${\phi}^{-1}$(L(N)) the bundle over M which is induced from ${\phi}$ and L(N). Then, we construct a structure equation for the torsion form in ${\phi}^{-1}$(L(N)) which is induced from a torsion form in L(N).

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References

  1. S. Kobayashi and K. Nomizu, Foundations of Differential Geometry, Vol. I, Wiley-Interscience, New York, 1963.
  2. J. S. Park, Projectively flat Yang-Mills connections, Kyushu J. Math. 64 (2010), no. 1, 49-58.
  3. J. S. Park, Linear connections in the bundle of linear frames, J. Chungcheong Math. Soc. 25 (2012), no. 4, 731-738. https://doi.org/10.14403/jcms.2012.25.4.731

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