Topology of billiard problems, II
Michael Farber
Abstract
We give topological lower bounds on the number of periodic and closed trajectories in strictly convex smooth billiards. We use variational reduction admitting a finite group of symmetries and apply topological approach based on equivariant Morse and Lusternik - Schnirelman theories. The paper continues results published in math.DG/9911226 and math.DG/0006049
Create a lesson
Related papers
Constructive Bounds for the Topological Expressivity of Neural Networks
Kosio Beshkov
The (right) homotopy between two A∞-morphisms
Mattia Ornaghi
Reconstruction of graphs and surfaces from derived categories
Oscar Harr
Critical Point Theory for the Distance Function on PL-Spaces
Dirk Siersma
Derived plethystic algebra
Benjamin Antieau, Edith Hübner, Dmitry Kubrak et al.
The first homology of square-section braid groups
Minh Pham, Nicholas Wawrykow, Jacob Zweiback