A short geometric proof of the Zalcman and Bieberbach conjectures

Published 8 Aug 2014 in math.CV | (1408.1948v1)

Abstract: We show that complex geometric features of Teichmuller spaces create explicitly the extremals of generic homogeneous holomorphic functionals on univalent functions. In particular this gives proofs of the well-known Zalcman and Bieberbach conjectures and many new distortion theorems.

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Authors (1)

Samuel L. Krushkal

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