https://neckpinch.com/authors/ivan-krznaric/New arXiv papers by Ivan Krznarić, from Neckpinch Tue, 03 Nov 2026 08:37:45 GMT https://neckpinch.com/papers/2605.14385/arxiv:2605.14385Thu, 14 May 2026 00:00:00 GMTIvan Krznarić, Rafael López — We study the inverse curve shortening flow in the hyperbolic plane h². We classify all solitons with respect to parabolic and conformal vector fields of h². In the upper half-plane model of h², we prove that parabolic solitons are all graphs on the y-axis, whereas conformal solitons are graphs on the x-axis. We study the concavity of these solitons and when they approach the coordinate axes.Curve shortening https://neckpinch.com/papers/2605.13023/arxiv:2605.13023Wed, 13 May 2026 00:00:00 GMTIvan Krznarić, Rafael López — We define a new notion of translations in the hyperbolic plane and explicitly solve the equation of the curve shortening flow. Next, we consider the class of ancient convex solutions and solve the equation of the curve shortening flow when the curvature function is given by separation of variables. Lastly, we prove some area estimates for closed ancient solutions of the curve shortening flow.Curve shorteningAncient solutions