https://neckpinch.com/authors/yun-yang/New arXiv papers by Yun Yang, from Neckpinch Tue, 03 Nov 2026 08:37:45 GMT https://neckpinch.com/papers/2502.06035/arxiv:2502.06035Sun, 09 Feb 2025 00:00:00 GMTYun Yang — This paper investigates curve flows on the light-cone in the 3-dimensional Minkowski space. We derive the Harnack inequality for the heat flow and present a detailed classification of space-periodic solitons for a third-order curvature flow. The nontrivial periodic solutions to this flow are expressed in terms of the Jacobi elliptic sine function. Additionally, the closed soliton solutions form a family of transcendental curves, denoted by x_(p,q), which are characterized by a rotation index p and close after q periods of their curvature functions. The ratio p/q satisfies p/q ∈ (√(2/3), 1), where p and q are relatively prime positive integers. Guided by the classification process, we obtain the analytic solutions to a second-order nonlinear ordinary differential equation.Other curvature flowsHarnack inequalities3-manifolds