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(Solved): My subject is differential geometry.. please write all details clearly Suppose on Rn a vector field ...



Suppose on \( \mathbb{R}^{n} \) a vector field \( X_{A} \) has the form \( X_{A}=x^{i} A_{i}^{j} \partial_{j} \) where \( A_{My subject is differential geometry.. please write all details clearly

Suppose on a vector field has the form where are the entries of a matrix Show that for any two matrices and . where .


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The commutator of two vector fields XA and XB is defined as [XA, XB] = XA(XB) - XB(XA).Given that XA has the form XAAO, where A is the entries of a ma
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