2 papers
math.DG2026
A reverse isoperimetric inequality in three-dimensional space forms
Kostiantyn Drach, Gil Solanes, Kateryna Tatarko
A -convex body in a three-dimensional space form of constant curvature is a compact convex set whose boundary has normal curvatures bounded below…
math.DG2025
The Weyl tube theorem for Kähler manifolds
Andreas Bernig, Joseph H. G. Fu, Gil Solanes +1
As sharpened in terms of Alesker's theory of valuations on manifolds, a classic theorem of Weyl asserts that the coefficients of the tube polynomial of an isometrically embedded ri…