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math.DG2020★ 1 cited
Radial expansion preserves hyperbolic convexity and radial contraction preserves spherical convexity
Dhruv Kohli, Jeffrey M. Rabin
On a flat plane, convexity of a set is preserved by both radial expansion and contraction of the set about any point inside it. Using the Poincaré disk model of hyperbolic geometry…
math.DG2020
Asymmetric expansion preserves hyperbolic convexity
Dhruv Kohli, Jeffrey M. Rabin
In an earlier paper we showed that the radial expansion of a hyperbolic convex set in the Poincaré disk about any point inside it results in a hyperbolic convex set. In this work,…