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학술저널

THE CHARACTERISTIC CONNECTION ON 6-DIMENSIONAL ALMOST HERMITIAN MANIFOLDS

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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)£U(1)£U(1)) with an almost Hermitian structure and prove that it has a geometric structure admitting the characteristic con- nection.

1. Introduction

2. Characteristic connections

3. The existence of the characteristic connection

4. Appendix

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