{"title":"流形上结构的变形与模:一般存在定理及其在Sasakian情形中的应用","authors":"L. Meersseman, M. Nicolau","doi":"10.2422/2036-2145.201505_005","DOIUrl":null,"url":null,"abstract":"In this paper we deal with the moduli problem for geometric structures \non manifolds. We prove an existence theorem of a local moduli space in a very \ngeneral setting. Then, to show the strength of this result, we apply it to the case of \nSasakian and Sasaki-Einstein structures for which until now only partial results \nwere known.","PeriodicalId":50966,"journal":{"name":"Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze","volume":"31 1","pages":"19-63"},"PeriodicalIF":1.2000,"publicationDate":"2015-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Deformations and Moduli of Structures on Manifolds: General Existence Theorem and Application to the Sasakian Case\",\"authors\":\"L. Meersseman, M. Nicolau\",\"doi\":\"10.2422/2036-2145.201505_005\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we deal with the moduli problem for geometric structures \\non manifolds. We prove an existence theorem of a local moduli space in a very \\ngeneral setting. Then, to show the strength of this result, we apply it to the case of \\nSasakian and Sasaki-Einstein structures for which until now only partial results \\nwere known.\",\"PeriodicalId\":50966,\"journal\":{\"name\":\"Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze\",\"volume\":\"31 1\",\"pages\":\"19-63\"},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2015-03-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.2422/2036-2145.201505_005\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.2422/2036-2145.201505_005","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
Deformations and Moduli of Structures on Manifolds: General Existence Theorem and Application to the Sasakian Case
In this paper we deal with the moduli problem for geometric structures
on manifolds. We prove an existence theorem of a local moduli space in a very
general setting. Then, to show the strength of this result, we apply it to the case of
Sasakian and Sasaki-Einstein structures for which until now only partial results
were known.
期刊介绍：
The Annals of the Normale Superiore di Pisa, Science Class, publishes papers that contribute to the development of Mathematics both from the theoretical and the applied point of view. Research papers or papers of expository type are considered for publication.
The Annals of the Normale Scuola di Pisa - Science Class is published quarterly
Soft cover, 17x24
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