Closed Characteristics on Asynnnetric Convex Hypersurfaces in R^2n and the Corresponding Pinching Conditions |
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作者姓名: | YuJunDONG YiMingLONG |
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作者单位: | [1]DepartmentofMathematics,NanjingNormalUniversity,Nanjing210097,P.R.China [2]NankaiInstituteofMathematicsandLPMC,NankaiUniversity,Tianjin300071,P.R.China |
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摘 要: | In this paper, we construct first a ilew 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.
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关 键 词: | 不对称超曲面 收敛 闭合特征 多重性 空间解析几何 |
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