{"title":"无处消失的原始辛形式","authors":"B. Stratmann","doi":"10.4310/ajm.2022.v26.n5.a5","DOIUrl":null,"url":null,"abstract":"Let $M$ be a manifold with an exact symplectic form $\\omega$. Then there is a nowhere vanishing primitive $\\beta$ for $\\omega$, i.e. $\\omega=\\mathrm{d}\\beta$.","PeriodicalId":55452,"journal":{"name":"Asian Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2020-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Nowhere vanishing primitive of a symplectic form\",\"authors\":\"B. Stratmann\",\"doi\":\"10.4310/ajm.2022.v26.n5.a5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let $M$ be a manifold with an exact symplectic form $\\\\omega$. Then there is a nowhere vanishing primitive $\\\\beta$ for $\\\\omega$, i.e. $\\\\omega=\\\\mathrm{d}\\\\beta$.\",\"PeriodicalId\":55452,\"journal\":{\"name\":\"Asian Journal of Mathematics\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2020-03-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Asian Journal of Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4310/ajm.2022.v26.n5.a5\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Asian Journal of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4310/ajm.2022.v26.n5.a5","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
Let $M$ be a manifold with an exact symplectic form $\omega$. Then there is a nowhere vanishing primitive $\beta$ for $\omega$, i.e. $\omega=\mathrm{d}\beta$.
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