On the existence of closed C1,1 curves of constant curvature
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS(2023)
摘要
We show that on any Riemannian surface for each 0 < c < infinity there exists an immersed C-1,C-1 curve that is smooth and with curvature equal to +/- c away from at most one point. We give examples showing that, in general, the regularity of the curve obtained by our procedure cannot be improved.
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关键词
53A10, 49J35, 53C42
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