A family of parametric isoperimetric-type inequalities with multiple geometric quantities
Differential Geometry
2026-05-28 v1
Abstract
We establish a family of parametric isoperimetric-type inequalities with multiple geometric quantities for closed convex curves. These inequalities hold under certain parameter conditions. We also prove the equality conditions. Some new inequalities and improved versions of proven inequalities are derived by adjusting the parameters. Such inequalities are stable under stronger conditions.
Cite
@article{arxiv.2605.26780,
title = {A family of parametric isoperimetric-type inequalities with multiple geometric quantities},
author = {Heran Zhao},
journal= {arXiv preprint arXiv:2605.26780},
year = {2026}
}
Comments
18 pages