Given a constant k>1 and a real-valued function K on the hyperbolic plane H2, we study the problem of finding, for any epsilon approximate to 0, a closed and embedded curve u epsilon in H2 having geodesic curvature k+epsilon K(u epsilon) at each point.
Embedded loops in the hyperbolic plane with prescribed, almost constant curvature
F. ZuddasSecondo
2019-01-01
Abstract
Given a constant k>1 and a real-valued function K on the hyperbolic plane H2, we study the problem of finding, for any epsilon approximate to 0, a closed and embedded curve u epsilon in H2 having geodesic curvature k+epsilon K(u epsilon) at each point.
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