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arXiv · 0809.0784

On hypercomplex pseudo-Hermitian manifolds

Kostadin Gribachev·Mancho Manev·Stancho Dimiev
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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.

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Kostadin Gribachev, Mancho Manev, Stancho Dimiev. 2008-09-04. On hypercomplex pseudo-Hermitian manifolds. https://doi.org/10.1142/9789812704191_0007

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