Distance and volume decreasing theorems for quasiconformal mappings

Petridis, Nicholas C.

doi:10.1090/S0002-9939-1981-0619990-5

Distance and volume decreasing theorems for quasiconformal mappings
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by Nicholas C. Petridis PDF

Proc. Amer. Math. Soc. 83 (1981), 93-98 Request permission

Abstract:

The method used by the author in deriving a Picard type theorem for quasiconformal mappings [Proc.. Amer. Math. Soc. 61 (1976), 265-27], improved by a proposition of S.-T. Yau [Amer. J. Math. 100 (1978), 197-203] is employed here to extend the Schwarz-Ahlfors lemma to harmonic quasiconformal mappings. The target space is not necessarily hyperbolic, not even negatively curved.

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