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- W2334149544 abstract "Abstract Motivated by Almgren’s work on the isoperimetric inequality, we prove a sharp inequality relating the length and maximum curvature of a closed curve in a complete, simply connected manifold of sectional curvature at most −1. Moreover, if equality holds, then the norm of the geodesic curvature is constant and the torsion vanishes. The proof involves an application of the maximum principle to a function defined on pairs of points." @default.
- W2334149544 created "2016-06-24" @default.
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- W2334149544 date "2015-12-01" @default.
- W2334149544 modified "2023-09-27" @default.
- W2334149544 title "On the Maximum Curvature of Closed Curves in Negatively Curved Manifolds" @default.
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- W2334149544 doi "https://doi.org/10.4153/cmb-2015-030-3" @default.
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