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A solution to a problem of Ghomi and Raffaelli on closed asymptotic curves

Ding, Weiran
arXiv (All) · Papers
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53a0457k10differential-geometry
We construct a smooth embedded open annulus in Euclidean three-space with strictly negative Gaussian curvature and injective Gauss map that contains a simple closed asymptotic curve of zero normal self-linking. This gives an affirmative answer to Problem 1.1 of Ghomi and Raffaelli. The construction
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