Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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THE CHARACTERISTIC CONNECTION ON 6-DIMENSIONAL ALMOST HERMITIAN MANIFOLDS

  • Received : 2011.07.05
  • Accepted : 2011.11.18
  • Published : 2011.12.30
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Abstract

The characteristic connection is a good substitute for the Levi-Civita connection, especially in studying non-integrable geometries. Unfortunately, not every geometric structure has the characteristic connection. In this paper we consider the space $U(3)/(U(1){\times}U(1){\times}U(1))$ with an almost Hermitian structure and prove that it has a geometric structure admitting the characteristic connection.

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References

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