A ramification theorem for the ratio of canonical forms of flat surfaces in hyperbolic three-space (Q741637)
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| Language | Label | Description | Also known as |
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| English | A ramification theorem for the ratio of canonical forms of flat surfaces in hyperbolic three-space |
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A ramification theorem for the ratio of canonical forms of flat surfaces in hyperbolic three-space (English)
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12 September 2014
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The ratio \(\rho \) of canonical forms plays important roles in investigating the global properties of weakly complete flat forms in \(\mathbb{H}^3\). The purpose of this work is to study the value-distribution-theoretic properties of \(\rho \). A main result is a ramification theorem which is sharp and corresponds to the defect relation in Nevanlinna theory. Two applications of this result are given.
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flat front
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weakly complete
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ramification theorem
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Ahlfors islands theorem
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Bernstein type theorem
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