On hypercomplex pseudo-Hermitian manifolds

Abstract

The class of the hypercomplex pseudo-Hermitian manifolds is considered. The flatness of the considered manifolds with the 3 parallel complex structures is proved. Conformal transformations of the metrics are introduced. The conformal invariance and the conformal equivalence of the basic types manifolds are studied. A known example is characterized in relation to the obtained results.

12 pages, presented on The Sixth International Workshop on Complex Structures and Vector Fields, St Konstantin, Bulgaria, 3-6 September 2002

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