{"title":"关于d -齐次变形N(k)-接触度量流形","authors":"T.N. Mandal","doi":"10.31926/but.mif.2021.1.63.2.7","DOIUrl":null,"url":null,"abstract":"In the present paper, we have studied generalized weakly symmetric and generalized weakly Ricci symmetric D-homothetically deformed N(k)-contact metric manifolds. Also we have studied Ricci solitons on deformed N(k)-contact metric manifold and obtained several results if the manifold has generalized weakly symmetric and generalized weakly Ricci symmetric restrictions. We have also proved that there does not exist a Ricci soliton in a D-homothetically deformed N(k )-contact metric manifold. Finally, we give an example.","PeriodicalId":38784,"journal":{"name":"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2022-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On D-homothetically deformed N(k)-contact metric manifolds\",\"authors\":\"T.N. Mandal\",\"doi\":\"10.31926/but.mif.2021.1.63.2.7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In the present paper, we have studied generalized weakly symmetric and generalized weakly Ricci symmetric D-homothetically deformed N(k)-contact metric manifolds. Also we have studied Ricci solitons on deformed N(k)-contact metric manifold and obtained several results if the manifold has generalized weakly symmetric and generalized weakly Ricci symmetric restrictions. We have also proved that there does not exist a Ricci soliton in a D-homothetically deformed N(k )-contact metric manifold. Finally, we give an example.\",\"PeriodicalId\":38784,\"journal\":{\"name\":\"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-01-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.31926/but.mif.2021.1.63.2.7\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of the Transilvania University of Brasov, Series III: Mathematics, Informatics, Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31926/but.mif.2021.1.63.2.7","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
On D-homothetically deformed N(k)-contact metric manifolds
In the present paper, we have studied generalized weakly symmetric and generalized weakly Ricci symmetric D-homothetically deformed N(k)-contact metric manifolds. Also we have studied Ricci solitons on deformed N(k)-contact metric manifold and obtained several results if the manifold has generalized weakly symmetric and generalized weakly Ricci symmetric restrictions. We have also proved that there does not exist a Ricci soliton in a D-homothetically deformed N(k )-contact metric manifold. Finally, we give an example.