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http://dx.doi.org/10.14403/jcms.2013.26.4.843

A FAMILY OF CHARACTERISTIC CONNECTIONS  

Kim, Hwajeong (Department of Mathematics Hannam University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.26, no.4, 2013 , pp. 843-852 More about this Journal
Abstract
The characteristic connection is a good substitute for Levi-Civita connection in studying non-integrable geometries. In this paper we consider the homogeneous space $U(3)/(U(1){\times}U(1){\times}U(1))$ with a one-parameter family of Hermitian structures. We prove that the one-parameter family of Hermtian structures admit a characteristic connection. We also compute the torsion of the characteristic connecitons.
Keywords
haracteristic connection; torsion; skew-symmetric torsion; non-integrable;
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Times Cited By KSCI : 1  (Citation Analysis)
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