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The two conformal invariants of fifth order

1938
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Transactions of the American Mathematical Society
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In the problem of classifying curvilinear angles in the plane with respect to the group of conformai transformations, the simplest invariant (other than angular magnitude 6) which occurs is found in the case of a horn angle of first order contact (formula (1) ). This is a differential invariant of third order, since it involves third derivatives of the two curves composing the angle. There are no invariants of fourth order (nor of any even order), but there are known to be just two of fifth

doi:10.1090/s0002-9947-1938-1501959-9
fatcat:ijogozduczadtdu7uidr7not5m