학술저널
A FAMILY OF CHARACTERISTIC CONNECTIONS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 26, No. 4
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2013.11843 - 852 (10 pages)
- 2
The characteristic connection is a good substitute for Levi-Civita connection in studying non-integrable geometries. In this paper we consider the homogeneous space U(3)=(U(1)£U(1)£ U(1)) with a one-parameter family of Hermitian structures. We prove that the one-parameter family of Hermtian structures admita characteristic connection. We also compute the torsion of the characteristic connecitons.
1. Introduction
2. Characteristic connections
3. The torsion of the characteristic connection
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