Closed characteristics on compact convex hypersurfaces in $\R^8$
Symplectic Geometry
2013-12-31 v3 Differential Geometry
Abstract
In this paper, we prove there exist at least four geometrically distinct closed characteristics on every compact convex hypersurface in . This gives a confirmed answer in the case to a long standing conjecture in Hamiltonian analysis since the time of A. M. Liapounov in 1892 (cf. P. 235 of \cite{Eke3}).
Cite
@article{arxiv.1305.4680,
title = {Closed characteristics on compact convex hypersurfaces in $\R^8$},
author = {Wei Wang},
journal= {arXiv preprint arXiv:1305.4680},
year = {2013}
}
Comments
62 pages. Some details are added and some typos are corrected in this version. arXiv admin note: substantial text overlap with arXiv:1112.5501, arXiv:math/0701673, arXiv:math/0701608