{"title":"通过谐波截面对里曼几乎全息纤维束的全形截面进行平滑变形","authors":"Aristide Ayibe, Moussa Kourouma","doi":"10.1007/s13370-023-01144-7","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper we give in the context of sections of a (<i>Riemannian</i>) almost Hermitian fiber bundle a reformulation of a theory of deformation linked to harmonic maps between almost Hermitian manifolds developped by A. Lichnerowicz.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":0.9000,"publicationDate":"2023-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Smooth deformation of holomorphic sections of a riemannian almost hermitian fiber bundle through harmonic sections\",\"authors\":\"Aristide Ayibe, Moussa Kourouma\",\"doi\":\"10.1007/s13370-023-01144-7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper we give in the context of sections of a (<i>Riemannian</i>) almost Hermitian fiber bundle a reformulation of a theory of deformation linked to harmonic maps between almost Hermitian manifolds developped by A. Lichnerowicz.</p></div>\",\"PeriodicalId\":46107,\"journal\":{\"name\":\"Afrika Matematika\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2023-12-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Afrika Matematika\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s13370-023-01144-7\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Afrika Matematika","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s13370-023-01144-7","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
摘要
在本文中,我们以(黎曼)近赫米特纤维束的截面为背景,重新阐述了由 A. Lichnerowicz 提出的与近赫米特流形之间的调和映射相关的变形理论。
Smooth deformation of holomorphic sections of a riemannian almost hermitian fiber bundle through harmonic sections
In this paper we give in the context of sections of a (Riemannian) almost Hermitian fiber bundle a reformulation of a theory of deformation linked to harmonic maps between almost Hermitian manifolds developped by A. Lichnerowicz.