Titlebook: Quadratic Differentials; Kurt Strebel Book 1984 Springer-Verlag Berlin Heidelberg 1984 Derivative.Extremale quasikonforme Abbildung.Meromo

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Trajectory Structure in the Large,.., of the horizontal intervals in the .-plane. We are now going to represent the trajectory . through a regular point .. in the large by this mapping. In this manner, we get . in its natural parametrization; moreover, as .. will be defined in a neighborhood of ., it also describes the relation between . and the neighboring trajectories.

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Quadratic Differentials of General Type,eant with respect to the local parameters . on .; it is evidently independent of the choice of the local parameter. The infimum of the .-lengths for all loops . in the free homotopy class of . is denoted by ..

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978-3-642-05723-6Springer-Verlag Berlin Heidelberg 1984

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Quadratic Differentials978-3-662-02414-0Series ISSN 0071-1136 Series E-ISSN 2197-5655

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Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematihttp://image.papertrans.cn/q/image/780044.jpg

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Background Material on Riemann Surfaces,In this paragraph some basic facts about Riemann surfaces are recalled. For the general theory we refer to Ahlfors and Sario [1], Nevanlinna [1], Lehto [1] and Strebel [15].

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The Metric Associated with a Quadratic Differential,The invariant line element |.(.)|.|.| was introduced in Section 5.3 and the local properties of the corresponding metric were investigated in Sections 5.4 and 8. In this chapter, we study its global properties.

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0071-1136 is in general not single-valued. In the case of a quadratic on the surface, which differential, one first has to take the square root and then integrate. The l978-3-642-05723-6978-3-662-02414-0Series ISSN 0071-1136 Series E-ISSN 2197-5655

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