On hypercomplex pseudo-Hermitian manifolds

Details On hypercomplex pseudo-Hermitian manifolds On hypercomplex pseudo-Hermitian manifolds

2008-09-04

arxiv.org/abs/0809.0784v1

Trends in Complex Analysis, Differential Geometry and Mathematical Physics, World Sci. Publ., Singapore, 2003, 51-62

Mathematics

Differential Geometry

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

Scientific paper

10.1142/9789812704191_0007

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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