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N-EXTENDED CONNECTIONS ON THE DISTRIBUTIONS OF SUB-RIEMANNIAN MANIFOLDS
Journal: Science Journal "NovaInfo" (Vol.2, No. 75)Publication Date: 2017-12-15
Authors : Galaev Sergey Vasilevich;
Page : 14-23
Keywords : ALMOST CONTACT B-METRIC STRUCTURE; SUB-RIEMANNIAN MANIFOLD OF CONTACT TYPE; N-EXTENDED CONNECTION;
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Abstract
An almost contact B-metric structure is defined on the distribution D of the sub-Riemannian manifold M. We find conditions under which the N-extended connection defined by the B-metric structure is a metric connection.
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Last modified: 2017-12-19 22:32:40