A FAMILY OF CHARACTERISTIC CONNECTIONS

Abstract

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 admit a characteristic connection. We also compute the torsion of the characteristic connecitons.

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