Diffeomorphically vs holomorphically trivial canonical bundle - MathOverflow [closed]most recent 30 from http://mathoverflow.net2013-06-19T03:08:46Zhttp://mathoverflow.net/feeds/question/16327http://www.creativecommons.org/licenses/by-nc/2.5/rdfhttp://mathoverflow.net/questions/16327/diffeomorphically-vs-holomorphically-trivial-canonical-bundleDiffeomorphically vs holomorphically trivial canonical bundleStergios2010-02-25T00:01:13Z2010-02-25T00:01:13Z
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<p><strong>Possible Duplicate:</strong><br>
<a href="http://mathoverflow.net/questions/15003/two-definitions-of-calabi-yau-manifolds" rel="nofollow">Two definitions of Calabi-Yau manifolds</a> </p>
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<p>Given a compact kahler manifold M with diffeomorphically trivial canonical bundle. Is it true that the canonical bundle is also holomorphically trivial ?</p>
<p>What if M is only assumed to be a compact complex manifold ?</p>