= Vector bundle endomorphism
{title2=$A\in\Gamma(\operatorname{End}E)$}
= Bundle endomorphism
{synonym}
A smooth <vector bundle morphism> from a <vector bundle> $E$ to itself, covering the identity on the base, is a <vector bundle> endomorphism. It is fibrewise linear and is equivalently a smooth section of $\operatorname{End}E$. In a local frame its matrix is smooth and changes by conjugation under changes of frame. An <almost complex structure> is a real endomorphism of the <tangent bundle> satisfying $J^2=-I$.
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