Article ID Journal Published Year Pages File Type
4665129 Advances in Mathematics 2016 56 Pages PDF
Abstract

In this paper, we prove there exist at least four geometrically distinct closed characteristics on every compact convex hypersurface Σ in R8R8. This gives a confirmed answer in the case n=4n=4 to a long standing conjecture in Hamiltonian analysis since the time of A. M. Liapounov in 1892 (cf. P. 235 of [4]).

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
Authors
,