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1 results on '"Almost hypercomplex manifold"'

1. A CONNECTION WITH PARALLEL TOTALLY SKEW-SYMMETRIC TORSION ON A CLASS OF ALMOST HYPERCOMPLEX MANIFOLDS WITH HERMITIAN AND ANTI-HERMITIAN METRICS.

Author

MANEV, MANCHO and GRIBACHEV, KOSTADIN

Subjects
*TORSION, *ELASTIC solids, *STRAINS & stresses (Mechanics), *DEFORMATIONS (Mechanics), *MATHEMATICAL programming, *HERMITIAN structures, *MANIFOLDS (Mathematics)
Abstract

The subject of investigations are the almost hypercomplex manifolds with Hermitian and anti-Hermitian (Norden) metrics. A linear connection D is introduced such that the structure of these manifolds is parallel with respect to D and its torsion is totally skew-symmetric. The class of the nearly Kähler manifolds with respect to the first almost complex structure is of special interest. It is proved that D has a D-parallel torsion and is weak if it is not flat. Some curvature properties of these manifolds are studied. [ABSTRACT FROM AUTHOR]

Published
2011
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