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arxiv: 0809.0784 · v1 · pith:DLW535G6new · submitted 2008-09-04 · 🧮 math.DG

On hypercomplex pseudo-Hermitian manifolds

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keywords manifoldsconformalconsideredhypercomplexpseudo-hermitianbasiccharacterizedclass
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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.

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