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학술저널

THE TORSION OF THE CHARACTERISTIC CONNECTION

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In [2], [8], the author studied the characteristic con-nection as a good substitute for the Levi-Civita connection. In this paper, we consider the space U(3)=(U(1)£U(1)£U(1)) with an al-most Hermitian structure which admits a characteristic connection and compute the characteristic connection concretely.

1. Introduction

2. The homogeneous space U(3)=(U(1) £ U(1) £ U(1))

3. The torsion of the characteristic connection

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