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math.CV2009★ 2 cited
Injectivity Criteria for Holomorphic Curves in
M. Chuaqui, P. Duren, B. Osgood
Combining the definition of Schwarzian derivative for conformal mappings between Riemannian manifolds given by Osgood and Stowe with that for parametrized curves in Euclidean space…
math.CV2007
Schwarzian Derivatives and Uniform Local Univalence
Martin Chuaqui, Peter Duren, Brad Osgood
Quantitative estimates are obtained for the (finite) valence of functions analytic in the unit disk with Schwarzian derivative that is bounded or of slow growth. A harmonic mapping…
math.CV2006
Univalence Criteria for Lifts of Harmonic Mappings to Minimal Surfaces
M. Chuaqui, P. Duren, B. Osgood
A general criterion in terms of the Schwarzian derivative is given for global univalence of the Weierstrass--Enneper lift of a planar harmonic mapping. Results on distortion and bo…