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math.DG2025
Geometric flows and space-periodic solitons on the light-cone
Yun 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…
math.DG2020
Feature Matching and Heat Flow in Centro-Affine Geometry
Peter J. Olver, Changzheng Qu, Yun Yang
In this paper, we study the differential invariants and the invariant heat flow in centro-affine geometry, proving that the latter is equivalent to the inviscid Burgers' equation.…