| ON COMPLETE OPEN MANIFOLDS WITH NON-NEGATIVE CURVATURE ALONG RAY DIRECTIONS |
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| 作者姓名： | 徐森林 梅加强 |
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| 摘 要： | 1IntroductionSupposeMisan-dimensionalmemanllianmanifold.Itiscalledopenifit'sconnectedandnoncompact.Therearemanybeautifulresultsaboutcompleteopenmanifoldswithnon-negativecurvature,seeforexample1]-7].Furtherstudyshowsthatthepropertiesofraysonopenmanifoldsareimportant.Manyresultsarealsotrueunderweakercurvatureconditions.InthesequelwewillalwaysassumethatMisacompleteopenmanifold.SupposepEM,uETPM.Wecalluaraydirectionifthereisarayissuingfrompsuchthatvistangenttothisray(Wedefinearaytobeageodes…
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ON COMPLETE OPEN MANIFOLDS WITH NON-NEGATIVE CURVATURE ALONG RAY DIRECTIONS |
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| Xu Senlin, Mei Jiaqiang.ON COMPLETE OPEN MANIFOLDS WITH NON-NEGATIVE CURVATURE ALONG RAY DIRECTIONS[J].Acta Mathematica Scientia,1998(2). |
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| Authors: | Xu Senlin Mei Jiaqiang |
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| Abstract: | The authors study complete open manifolds whose curvature is non-negative along ray directions. They prove that such manifold has infinite volume. Cheeger-Gromoll's splitting theorem is generallied. They also study topology of such manifolds. |
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| Keywords: | Busemanu function exhaustion function Subharmonic function convex function end |
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