2 papers
math.DG2024
Deforming Locally Convex Curves into Curves of Constant -order Width
Laiyuan Gao, Horst Martini, Deyan Zhang
A nonlocal curvature flow is introduced to evolve locally convex curves in the plane. It is proved that this flow with any initial locally convex curve has a global solution, keepi…
math.DG2018
The log-Brunn-Minkowski inequality in
Yunlong Yang, Deyan Zhang
Böröczky, Lutwak, Yang and Zhang recently proved the log-Brunn-Minkowski inequality which is stronger than the classical Brunn-Minkowski inequality for two origin-symmetric convex…