{"title":"关于a-余辛流形的一些结果","authors":"H. Yoldaş","doi":"10.31926/but.mif.2021.1.63.2.10","DOIUrl":null,"url":null,"abstract":"In this paper, we deal with some geometric properties of an -cosymplectic manifold. First, we give some classi cations for an alpha-cosymplectic manifold endowed with some special vector elds such as projective, concircular and torse-forming. Then, we study alpha-cosymplectic manifold admitting eta-Ricci solitons with projective, a ne conformal vector elds. Finally, we obtain some haracterizations for such a manifold to be Einstein, eta-Einstein, cosymplectic.","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\":\"Some results on a-cosympletic manifolds\",\"authors\":\"H. Yoldaş\",\"doi\":\"10.31926/but.mif.2021.1.63.2.10\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we deal with some geometric properties of an -cosymplectic manifold. First, we give some classi cations for an alpha-cosymplectic manifold endowed with some special vector elds such as projective, concircular and torse-forming. Then, we study alpha-cosymplectic manifold admitting eta-Ricci solitons with projective, a ne conformal vector elds. Finally, we obtain some haracterizations for such a manifold to be Einstein, eta-Einstein, cosymplectic.\",\"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.2021.1.63.2.10\",\"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.2021.1.63.2.10","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
In this paper, we deal with some geometric properties of an -cosymplectic manifold. First, we give some classi cations for an alpha-cosymplectic manifold endowed with some special vector elds such as projective, concircular and torse-forming. Then, we study alpha-cosymplectic manifold admitting eta-Ricci solitons with projective, a ne conformal vector elds. Finally, we obtain some haracterizations for such a manifold to be Einstein, eta-Einstein, cosymplectic.