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http://dx.doi.org/10.4134/CKMS.2012.27.1.197

A NOTE ON COMPACT ALMOST KÄHLER LOCALLY SYMMETRIC SPACES  

Kim, Jae-Man (Department of Mathematics Education Kangwon National University)
Publication Information
Communications of the Korean Mathematical Society / v.27, no.1, 2012 , pp. 197-200 More about this Journal
Abstract
Concerning the integrability of almost K$\ddot{a}$hler manifolds, we prove that a compact almost K$\ddot{a}$hler locally symmetric space is K$\ddot{a}$hler if the length of the star Ricci tensor is not smaller than that of the Ricci tensor.
Keywords
integrability of almost K$\ddot{a}$hler manifolds; compact almost K$\ddot{a}$hler locally symmetric space; K$\ddot{a}$hler; the length of the star Ricci tensor; the length of the Ricci tensor;
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