{"title":"二次曲率泛函的临界度量的直接积","authors":"S. Caeiro-Oliveira","doi":"10.1007/s13324-025-01016-2","DOIUrl":null,"url":null,"abstract":"<div><p>We study metrics on product manifolds which are critical for some quadratic curvature functionals. As a consequence, we provide construction methods and new examples in arbitrary dimension.</p></div>","PeriodicalId":48860,"journal":{"name":"Analysis and Mathematical Physics","volume":"15 1","pages":""},"PeriodicalIF":1.6000,"publicationDate":"2025-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On direct products of critical metrics for quadratic curvature functionals\",\"authors\":\"S. Caeiro-Oliveira\",\"doi\":\"10.1007/s13324-025-01016-2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We study metrics on product manifolds which are critical for some quadratic curvature functionals. As a consequence, we provide construction methods and new examples in arbitrary dimension.</p></div>\",\"PeriodicalId\":48860,\"journal\":{\"name\":\"Analysis and Mathematical Physics\",\"volume\":\"15 1\",\"pages\":\"\"},\"PeriodicalIF\":1.6000,\"publicationDate\":\"2025-01-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Analysis and Mathematical Physics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s13324-025-01016-2\",\"RegionNum\":3,\"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":"Analysis and Mathematical Physics","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s13324-025-01016-2","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
On direct products of critical metrics for quadratic curvature functionals
We study metrics on product manifolds which are critical for some quadratic curvature functionals. As a consequence, we provide construction methods and new examples in arbitrary dimension.
期刊介绍:
Analysis and Mathematical Physics (AMP) publishes current research results as well as selected high-quality survey articles in real, complex, harmonic; and geometric analysis originating and or having applications in mathematical physics. The journal promotes dialog among specialists in these areas.