curvature flow 1hypersurface evolution 1light-cone geometry 1symmetric polynomials 1variational problems 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.DG2026
Evolution of hypersurfaces in -dimensional light-cone
Xinjie Jiang, Shengliang Pan, Yun Yang
The paper studies how hypersurfaces evolve inside the half of an (n+1)-dimensional light‑cone, analyzes variational problems involving elementary symmetric functions of principal c…
math.DG2026
A fourth-order area-preserving curve flow in centro-equiaffine geometry
Xinjie Jiang, Shengliang Pan, Yanlong Zhang
In this paper, inspired by the work of Guan and Li (2015), we introduce a fourth-order centro-equiaffine invariant curve flow via the affine Minkowski formula. Without any smallnes…
math.DG2025
Evolving convex curves by a generalized length-preserving flow
Laiyuan Gao, Shengliang Pan
This paper deals with a generalized length-preserving flow for convex curves in the plane. It is shown that the flow exists globally and deforms convex curves into circles as time…