THE CHARACTERISTIC CONNECTION ON 6-DIMENSIONAL ALMOST HERMITIAN MANIFOLDS

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) × U (1) × U (1)) with an almost Hermitian structure and prove that it has a geometric structure admitting the characteristic connection.

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