Nearly Circular Domains Which Are Integrable Close to the Boundary Are Ellipses

On the periodic motions of dynamical systems

George D. Birkhoff · Acta Mathematica · 1927 · 237 citations · Full text

Discrete Dynamical System, Deterministic Dynamical System, Periodic Travelling Wave +1

THE EXISTENCE OF CAUSTICS FOR A BILLIARD PROBLEM IN A CONVEX DOMAIN

V. F. Lazutkin · Mathematics of the USSR-Izvestiya · 1973 · 177 citations

Integral Geometry, Engineering, Geometric Partial Differential Equation +9

Riemannian tori without conjugate points are flat

Dmitri Burago, Sergei Ivanov · Geometric and Functional Analysis · 1994 · 109 citations

Geometry, Riemannian Tori, Riemannian Geometry +2

Convex billiards and a theorem by E. Hopf

Misha Bialy · Mathematische Zeitschrift · 1993 · 88 citations

Geometric Flow, Geometry, Convex Hull +2

Two-dimensional Riemannian metrics with integrable geodesic flows. Local and global geometry

Alexey V. Bolsinov, Vladimir S. Matveev · Sbornik Mathematics · 1998 · 83 citations

Integral Geometry, Global Geometry, Engineering +9