given a metric g, you can define another metric tex2html_wrap76 . tex2html_wrap77 , tex2html_wrap78 are called conformally equivalent. This is an equivalense relation. tex2html_wrap79 . There are conformal equivalence of metrics on a manifold. This is called the conformal structure. The equivalence classes from a group called tex2html_wrap80 .

Example: tex2html_wrap81 all entire functions are conformally equivalent.

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