2 papers
math.DG2025
Upper bounds for the Alexandrov-Fenchel deficit via integral formulas
Kwok-Kun Kwong, Yong Wei
We derive a number of sharp upper bounds for the deficit in the Alexandrov-Fenchel inequality using a weighted Minkowski integral formula and an integral formula for the deficit in…
math.DG2024
Alexandrov-Fenchel type inequalities with convex weight in space forms
Kwok-Kun Kwong, Yong Wei
In this paper, we derive new sharp weighted Alexandrov-Fenchel and Minkowski inequalities for smooth, closed hypersurfaces under various convexity assumptions in Euclidean, spheric…