Symmetric closed characteristics on symmetric compact convex hypersurfaces in R2n

Autor:	Wei Wang
Rok vydání:	2009
Předmět:	Pure mathematics Applied Mathematics Mathematical analysis Regular polygon Subderivative Hamiltonian system Mean index identity Hypersurface Compact convex hypersurfaces Closed convex function Convex body Hamiltonian systems Ring of symmetric functions Analysis Closed characteristics Mathematics
Zdroj:	Journal of Differential Equations. 246:4322-4331
ISSN:	0022-0396
DOI:	10.1016/j.jde.2008.10.003
Popis:	In this article, let Σ⊂R2n be a compact convex hypersurface which is symmetric with respect to the origin, where n=2 or 3. We prove that if Σ carries exactly n geometrically distinct closed characteristics, then all of them must be symmetric.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::deb8fc06e84f3611632a32b0e3ff6bb5 https://doi.org/10.1016/j.jde.2008.10.003 Zobrazit plný text záznamu Full Text from ScienceDirect