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Reduction of HKT-Structures

Gueo Grantcharov, George Papadopoulos, Yat Sun Poon

math.DGarXiv:math/0201159

Abstract

KT-geometry is the geometry of a Hermitian connection whose torsion is a 3-form. HKT-geometry is the geometry of a hyper-Hermitian connection whose torsion is a 3-form. We identify non-trivial conditions for a reduction theory for these types of geometry.

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