{"title":"k -接触流形上的广义Ricci孤子","authors":"G. Ghosh","doi":"10.36753/mathenot.683478","DOIUrl":null,"url":null,"abstract":"The object of the present paper is to study K-contact manifold admitting generalised Ricci solitons. We prove that a $K$-contact manifold of dimension $(2n+1)$ satisfying the generalised Ricci soliton equation is an Einstein one. Finally, we obtain several remarks.","PeriodicalId":127589,"journal":{"name":"Mathematical Sciences and Applications E-Notes","volume":"45 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Generalized Ricci solitons on K-contact manifolds\",\"authors\":\"G. Ghosh\",\"doi\":\"10.36753/mathenot.683478\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The object of the present paper is to study K-contact manifold admitting generalised Ricci solitons. We prove that a $K$-contact manifold of dimension $(2n+1)$ satisfying the generalised Ricci soliton equation is an Einstein one. Finally, we obtain several remarks.\",\"PeriodicalId\":127589,\"journal\":{\"name\":\"Mathematical Sciences and Applications E-Notes\",\"volume\":\"45 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-10-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematical Sciences and Applications E-Notes\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.36753/mathenot.683478\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Sciences and Applications E-Notes","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.36753/mathenot.683478","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The object of the present paper is to study K-contact manifold admitting generalised Ricci solitons. We prove that a $K$-contact manifold of dimension $(2n+1)$ satisfying the generalised Ricci soliton equation is an Einstein one. Finally, we obtain several remarks.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
