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http://dx.doi.org/10.14403/jcms.2011.24.4.10

THE CHARACTERISTIC CONNECTION ON 6-DIMENSIONAL ALMOST HERMITIAN MANIFOLDS  

Kim, Hwajeong (Department of Mathematics Hannam University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.24, no.4, 2011 , pp. 725-733 More about this Journal
Abstract
The characteristic connection is a good substitute for the Levi-Civita connection, especially in studying non-integrable geometries. Unfortunately, not every geometric structure has the characteristic connection. In this paper we consider the space $U(3)/(U(1){\times}U(1){\times}U(1))$ with an almost Hermitian structure and prove that it has a geometric structure admitting the characteristic connection.
Keywords
characteristic connection; skew-symmetric torsion; non-integrable;
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