Recurrent tensor: Difference between revisions

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Created page with '==definition== Let <math>\nabla</math> be a connection on the manifold ''M''. A tensor ''T'' called '''recurrent with respect to <math>\nabla</math>''', iff there i...'
 
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==definition==
Let <math>\nabla</math> be a connection on thea manifold ''M''. A tensor ''T'' called '''recurrent with respect to <math>\nabla</math>''', iff there is a one-form <math>\omega</math> on ''M'', such that
:<math>\nabla T = \omega\otimes T</math>