Vertical Limits of Graph Domains
classification
🧮 math.CV
keywords
teichmullergeodesicslimitsmathbbverticalbehaviorboundary
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We consider the limiting behavior of Teichm\"uller geodesics in the universal Teichm\"uller space $T(\mathbb{H})$. Our main result states that the limits of the Teichm\"uller geodesics in the Thurston's boundary of $T(\mathbb{H})$ may depend on both vertical and horizontal foliation of the corresponding holomorphic quadratic differential.
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