{"title":"主束和翘曲积上的调和映射和双调和映射","authors":"H. Urakawa","doi":"10.4134/JKMS.J170251","DOIUrl":null,"url":null,"abstract":". In this paper, we study harmonic maps and biharmonic maps on the principal G -bundle in Kobayashi and Nomizu [22] and also the warped product P = M × f F for a C ∞ ( M ) function f on M studied by Bishop and O’Neill [4], and Ejiri [11].","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":"55 1","pages":"553-574"},"PeriodicalIF":0.7000,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"13","resultStr":"{\"title\":\"HARMONIC MAPS AND BIHARMONIC MAPS ON PRINCIPAL BUNDLES AND WARPED PRODUCTS\",\"authors\":\"H. Urakawa\",\"doi\":\"10.4134/JKMS.J170251\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". In this paper, we study harmonic maps and biharmonic maps on the principal G -bundle in Kobayashi and Nomizu [22] and also the warped product P = M × f F for a C ∞ ( M ) function f on M studied by Bishop and O’Neill [4], and Ejiri [11].\",\"PeriodicalId\":49993,\"journal\":{\"name\":\"Journal of the Korean Mathematical Society\",\"volume\":\"55 1\",\"pages\":\"553-574\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2018-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"13\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of the Korean Mathematical Society\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4134/JKMS.J170251\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Korean Mathematical Society","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4134/JKMS.J170251","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 13
摘要
. 本文研究了Kobayashi和Nomizu[22]中主G束上的调和映射和双调和映射,以及Bishop和O 'Neill[4]和Ejiri[11]研究的C∞(M)函数f在M上的弯曲积P = M × f。
HARMONIC MAPS AND BIHARMONIC MAPS ON PRINCIPAL BUNDLES AND WARPED PRODUCTS
. In this paper, we study harmonic maps and biharmonic maps on the principal G -bundle in Kobayashi and Nomizu [22] and also the warped product P = M × f F for a C ∞ ( M ) function f on M studied by Bishop and O’Neill [4], and Ejiri [11].
期刊介绍:
This journal endeavors to publish significant research of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of six issues (January, March, May, July, September, November).