Abstract
Let T ( S ) be a Teichmuller space of a hyperbolic Riemann surface S , viewed as a set of Teichmuller equivalence classes of Beltrami differentials on S . It is shown in this paper that for any extremal Beltrami differential μ 0 at a given point τ of T ( S ), there is a Hamilton sequence for μ 0 formed by Strebel differentials in a natural way. Especially, such a kind of Hamilton sequence possesses some special properties. As applications, some results on point shift differentials are given.
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