{"title":"近α-折射（k, mu, nu）空间不变子漫游的一些重要性质","authors":"Pakize Uygun, M. Atc̣eken, Tuğba Mert","doi":"10.56947/amcs.v21.242","DOIUrl":null,"url":null,"abstract":"The object of the paper is to investigate invariant submanifolds of an almost alpha-cosymplectic (k, mu, nu )-space. Then we have proved that the necessary and sufficient conditions for an invariant submanifold of an almost alpha-cosymplectic (k, mu, nu )-space to be totally geodesic under the some conditions. Consequently, we have obtained some interesting results invariant submanifolds of an almost alpha-cosymplectic (k, mu, nu )-space.","PeriodicalId":504658,"journal":{"name":"Annals of Mathematics and Computer Science","volume":"62 10","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Some important properties of invariant submanifolds of an almost alpha-cosymplectic (k, mu, nu )-space\",\"authors\":\"Pakize Uygun, M. Atc̣eken, Tuğba Mert\",\"doi\":\"10.56947/amcs.v21.242\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The object of the paper is to investigate invariant submanifolds of an almost alpha-cosymplectic (k, mu, nu )-space. Then we have proved that the necessary and sufficient conditions for an invariant submanifold of an almost alpha-cosymplectic (k, mu, nu )-space to be totally geodesic under the some conditions. Consequently, we have obtained some interesting results invariant submanifolds of an almost alpha-cosymplectic (k, mu, nu )-space.\",\"PeriodicalId\":504658,\"journal\":{\"name\":\"Annals of Mathematics and Computer Science\",\"volume\":\"62 10\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-02-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annals of Mathematics and Computer Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.56947/amcs.v21.242\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of Mathematics and Computer Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.56947/amcs.v21.242","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
本文的目的是研究几乎阿尔法余弦（k, mu, nu ）空间的不变子曼形体。首先，我们证明了几乎α-余弦（k, mu, nu ）空间的不变子曼形体在某些条件下是完全测地的必要条件和充分条件；然后，我们证明了几乎α-余弦（k, mu, nu ）空间的不变子曼形体在某些条件下是完全测地的必要条件和充分条件。因此，我们得到了一些有趣的几乎阿尔法余弦（k, mu, nu ）空间的不变子曼形体的结果。
Some important properties of invariant submanifolds of an almost alpha-cosymplectic (k, mu, nu )-space
The object of the paper is to investigate invariant submanifolds of an almost alpha-cosymplectic (k, mu, nu )-space. Then we have proved that the necessary and sufficient conditions for an invariant submanifold of an almost alpha-cosymplectic (k, mu, nu )-space to be totally geodesic under the some conditions. Consequently, we have obtained some interesting results invariant submanifolds of an almost alpha-cosymplectic (k, mu, nu )-space.
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