{"title":"具有三维生成分布的 $ （operatorname{SU}(1,1)）和 $ （operatorname{SO}_{0}(2,1)）上一些子黎曼度量的大地线和最短弧线","authors":"I. A. Zubareva","doi":"10.1134/s003744662402006x","DOIUrl":null,"url":null,"abstract":"<p>We find geodesics, shortest arcs, cut loci, and first conjugate loci for some left-invariant sub-Riemannian metrics on the Lie groups\n<span>\\( \\operatorname{SU}(1,1)\\times \\)</span> and <span>\\( \\operatorname{SO}_{0}(2,1)\\times \\)</span>.</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Geodesics and Shortest Arcs of Some Sub-Riemannian Metrics on the Lie Groups $ \\\\operatorname{SU}(1,1)\\\\times �� $ and $ \\\\operatorname{SO}_{0}(2,1)\\\\times �� $ with Three-Dimensional Generating Distributions\",\"authors\":\"I. A. Zubareva\",\"doi\":\"10.1134/s003744662402006x\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We find geodesics, shortest arcs, cut loci, and first conjugate loci for some left-invariant sub-Riemannian metrics on the Lie groups\\n<span>\\\\( \\\\operatorname{SU}(1,1)\\\\times \\\\)</span> and <span>\\\\( \\\\operatorname{SO}_{0}(2,1)\\\\times \\\\)</span>.</p>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-03-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1134/s003744662402006x\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1134/s003744662402006x","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Geodesics and Shortest Arcs of Some Sub-Riemannian Metrics on the Lie Groups $ \operatorname{SU}(1,1)\times �� $ and $ \operatorname{SO}_{0}(2,1)\times �� $ with Three-Dimensional Generating Distributions
We find geodesics, shortest arcs, cut loci, and first conjugate loci for some left-invariant sub-Riemannian metrics on the Lie groups
\( \operatorname{SU}(1,1)\times \) and \( \operatorname{SO}_{0}(2,1)\times \).
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