= Antiholomorphic function
{title2=$\partial_z f=0$}
{wiki}
= Antiholomorphic map
{synonym}
A complex-valued function is antiholomorphic when its complex conjugate is a <holomorphic function>. In one complex dimension it locally depends on $\overline z$ and satisfies $\partial_zf=0$. A nonconstant antiholomorphic map reverses the orientation induced by the complex coordinates. Thus complex conjugating a holomorphic sphere map reverses its <topological degree> while preserving its Dirichlet energy.
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