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A COMPLETE METRIC OF POSITIVE CURVATURE ON R^n AND EXISTENCE OF CLOSED GEODESICS

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摘要 AnexampleofcompletsRiemannianmetricofpositive(ornonnagative)curvatureonR^nsuchasds^2=a(x)dx^2isobtainedbydirectcaculations.Furthermore,byusingageodesicconvexconditionandatheoremforcompletenoncompactRiemannianmanifold,anexistenceresultofperiodicsulutionofprescribedenergyforasingularHamiltoniansystemisalsoobtained.

DOI 9odwrr0e4k/245132

作者 ZHUDAXIN

机构地区不详

出处《数学年刊：B辑英文版》 1994年3期

关键词正曲率完全标准测地学黎曼流形汉密尔顿系统

分类 [理学][基础数学]

出版日期 1994年03月13日（中国期刊网平台首次上网日期，不代表论文的发表时间）

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来源期刊

数学年刊：B辑英文版

数学年刊：B辑英文版

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正曲率完全标准测地学黎曼流形汉密尔顿系统

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