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arXiv · 1803.00856

Embedded loops in the hyperbolic plane with prescribed, almost constant curvature

Roberta Musina·Fabio Zuddas
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Abstract

Given a constant $k>1$ and a real valued function $K$ on the hyperbolic plane $\mathbb H^2$, we study the problem of finding, for any $\epsilon\approx 0$, a closed and embedded curve $u^\epsilon $ in $\mathbb H^2$ having geodesic curvature $k+\epsilon K(u^\epsilon)$ at each point.

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Roberta Musina, Fabio Zuddas. 2018-03-02. Embedded loops in the hyperbolic plane with prescribed, almost constant curvature. https://arxiv.org/abs/1803.00856

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