{"title":"金属黎曼曼体的准半斜子曼形","authors":"Payel Karmakar, Arindam Bhattacharyya","doi":"10.1007/s40010-023-00826-y","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we present the general notion of quasi hemi-slant submanifolds of metallic Riemannian manifolds. We study some properties of submanifolds, specially quasi hemi-slant submanifolds of metallic and golden Riemannian manifolds. We obtain some necessary and sufficient conditions for submanifolds to be quasi hemi-slant in metallic and golden Riemannian manifolds and also obtain integrability conditions for the distributions. At last, we construct an example of a quasi hemi-slant submanifold of a metallic Riemannian manifold.</p></div>","PeriodicalId":744,"journal":{"name":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","volume":"94 1","pages":"75 - 82"},"PeriodicalIF":0.8000,"publicationDate":"2023-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Quasi Hemi-Slant Submanifolds of Metallic Riemannian Manifolds\",\"authors\":\"Payel Karmakar, Arindam Bhattacharyya\",\"doi\":\"10.1007/s40010-023-00826-y\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper, we present the general notion of quasi hemi-slant submanifolds of metallic Riemannian manifolds. We study some properties of submanifolds, specially quasi hemi-slant submanifolds of metallic and golden Riemannian manifolds. We obtain some necessary and sufficient conditions for submanifolds to be quasi hemi-slant in metallic and golden Riemannian manifolds and also obtain integrability conditions for the distributions. At last, we construct an example of a quasi hemi-slant submanifold of a metallic Riemannian manifold.</p></div>\",\"PeriodicalId\":744,\"journal\":{\"name\":\"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences\",\"volume\":\"94 1\",\"pages\":\"75 - 82\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2023-05-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences\",\"FirstCategoryId\":\"103\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s40010-023-00826-y\",\"RegionNum\":4,\"RegionCategory\":\"综合性期刊\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MULTIDISCIPLINARY SCIENCES\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","FirstCategoryId":"103","ListUrlMain":"https://link.springer.com/article/10.1007/s40010-023-00826-y","RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
Quasi Hemi-Slant Submanifolds of Metallic Riemannian Manifolds
In this paper, we present the general notion of quasi hemi-slant submanifolds of metallic Riemannian manifolds. We study some properties of submanifolds, specially quasi hemi-slant submanifolds of metallic and golden Riemannian manifolds. We obtain some necessary and sufficient conditions for submanifolds to be quasi hemi-slant in metallic and golden Riemannian manifolds and also obtain integrability conditions for the distributions. At last, we construct an example of a quasi hemi-slant submanifold of a metallic Riemannian manifold.
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