The book Quasiconformal Mappings And Teichmullers Theorem was written by author Lipman Bers Here you can read free online of Quasiconformal Mappings And Teichmullers Theorem book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is Quasiconformal Mappings And Teichmullers Theorem a good or bad book?
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Td. I' P'jal. A h|i. Y ^2. V has arbitrarily small compact support in S -C^, . More precisely, i\'e assume that v;e are given a and b, 0 belonging to c{>dz'^ at p and setting v(J^(p)) = n(^), we see that the re- lation to be proved becomes \ I \ rM+r, y)d'i\dE, dr^= 2a H n{^, ^)d^d''i . - CO l-a j - CO Its validity is, therefore, obvious. 12, Uniqueness proof VJe are now in a position to prove Theorem I, A) Let S jbe a c lose d Riemann surface of genus g > 1 . If f : S— > S is a c onf orma l h...ome omorph ism homo top ic to the identity, then f _ls the ide ntity . This classical statement follows at once from the consi- derations of §6, Set S = U/Cr and let w : U — -^ U be the horaeomorphisra inducing f. If f is conformal, vj must be con- formal, that is an element of H, If f is homotopic to the identity, w induces the identity isomorphism on G.
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