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ASSOCIATED OBATA CONNECTION ON ALMOST CONTACT HYPERCOMPLEX MANIFOLDS
Journal: Science Journal "NovaInfo" (Vol.1, No. 58)Publication Date: 2017-01-31
Authors : Galaev Sergey Vasilevich;
Page : 12-24
Keywords : SCHOUTEN-RICCI TENSOR; ASSOCIATED OBATA CONNECTION; ALMOST CONTACT METRIC STRUCTURE; SCHOUTEN TENSOR; OBATA INTRINSIC CONNECTION; ALMOST CONTACT HYPERKÄHLER STRUCTURE; ADMISSIBLE HYPERCOMPLEX STRUCTURE;
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Abstract
The article discusses the geometry of almost contact hyper and almost contact manifolds hyperkähler. Defines the intrinsic and the associated Obata connection preserving contact almost hypercomplex structure. It is proved that almost contact hyperkähler manifold is $eta$-Einstein manifold.
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Last modified: 2017-09-20 17:29:55