{"title":"根据Eliashberg和Gromov的结果","authors":"Marc Chaperon","doi":"10.1016/S0764-4442(01)01939-5","DOIUrl":null,"url":null,"abstract":"<div><p>We give a very simple proof of a theorem of Eliashberg and Gromov implying that intersection between the conormal bundles <em>νM</em> and <em>νN</em> of two proper submanifolds <em>M</em>, <em>N</em> of <span><math><mtext>R</mtext><msup><mi></mi><mn>n</mn></msup></math></span> is persistent under compactly supported Hamiltonian deformations of <em>νM</em> and <em>νN</em>.</p></div>","PeriodicalId":100300,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics","volume":"333 7","pages":"Pages 657-661"},"PeriodicalIF":0.0000,"publicationDate":"2001-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0764-4442(01)01939-5","citationCount":"1","resultStr":"{\"title\":\"On a result of Eliashberg and Gromov\",\"authors\":\"Marc Chaperon\",\"doi\":\"10.1016/S0764-4442(01)01939-5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We give a very simple proof of a theorem of Eliashberg and Gromov implying that intersection between the conormal bundles <em>νM</em> and <em>νN</em> of two proper submanifolds <em>M</em>, <em>N</em> of <span><math><mtext>R</mtext><msup><mi></mi><mn>n</mn></msup></math></span> is persistent under compactly supported Hamiltonian deformations of <em>νM</em> and <em>νN</em>.</p></div>\",\"PeriodicalId\":100300,\"journal\":{\"name\":\"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics\",\"volume\":\"333 7\",\"pages\":\"Pages 657-661\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/S0764-4442(01)01939-5\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0764444201019395\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0764444201019395","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
摘要
我们给出了Eliashberg和Gromov的一个定理的一个非常简单的证明，该定理表明在νM和νN的紧支持哈密顿变形下，两个固有子流形M, N (Rn)的正规束νM和νN之间的相交是持久的。
We give a very simple proof of a theorem of Eliashberg and Gromov implying that intersection between the conormal bundles νM and νN of two proper submanifolds M, N of is persistent under compactly supported Hamiltonian deformations of νM and νN.
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