On closed characteristics of minimal action on a convex three-sphere
Abstract
We prove that every closed characteristic of minimal action on the boundary of a uniformly convex domain in 4 bounds a disk-like global surface of section. A corollary is that the cylindrical symplectic capacity of a convex body in 4 coincides with the minimal action of a closed generalized characteristic on its boundary.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.