Chern connection: Difference between revisions
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==Definition== | ==Definition== | ||
The '''Chern connection'' on an [[almost Kahler manifold]] is the unique [[Hermitian connection]] on it whose [[torsion of a linear connection|torsion]] is the [[ | The '''Chern connection'' on an [[almost Kahler manifold]] is the unique [[Hermitian connection]] on it whose [[torsion of a linear connection|torsion]] is the [[Nijenhuis tensor]]. | ||
Revision as of 11:04, 6 July 2007
Definition
The 'Chern connection on an almost Kahler manifold is the unique Hermitian connection on it whose torsion is the Nijenhuis tensor.