In this paper, we construct first a new concrete example of asymmetric convex compact C 1,1-hypersurfaces in R 2n possessing precisely n closed characteristics. Then we prove multiplicity results on the closed charact...In this paper, we construct first a new concrete example of asymmetric convex compact C 1,1-hypersurfaces in R 2n possessing precisely n closed characteristics. Then we prove multiplicity results on the closed characteristics on convex compact hypersurfaces in R 2n pinched by not necessarily symmetric convex compact hypersurfaces.展开更多
基金Partially supported by the 973 Program of STM,Funds of EC of Jiangsuthe Natural Science Funds of Jiangsu(BK 2002023)+1 种基金the Post-doctorate Funds of Chinathe NNSF of China(10251001)Partially supported by the 973 Program of STM,NNSF,MCME,RFDP,PMC
文摘In this paper, we construct first a new concrete example of asymmetric convex compact C 1,1-hypersurfaces in R 2n possessing precisely n closed characteristics. Then we prove multiplicity results on the closed characteristics on convex compact hypersurfaces in R 2n pinched by not necessarily symmetric convex compact hypersurfaces.
基金supported in part by Young Faculty Career Start Program (34000-3171917)NSFC (10901165)+1 种基金NSFGD (9451027501002600)China Postdoc-toral Science Foundation (20090460066)
文摘In this article, the author proves a compactness result about Riemannian manifolds with an arbitrary pointwisely pinched Ricci curvature tensor.
