2017年
Biharmonic homogeneous submanifolds in compact symmetric spaces
Springer Proceedings in Mathematics and Statistics
- ,
- ,
- 巻
- 203
- 号
- 開始ページ
- 323
- 終了ページ
- 333
- 記述言語
- 英語
- 掲載種別
- 研究論文(国際会議プロシーディングス)
- DOI
- 10.1007/978-981-10-5556-0_27
- 出版者・発行元
- Springer New York LLC
This paper is a survey of our recent works on biharmonic homogeneous submanifolds in compact symmetric spaces (Biharmonic homogeneous submanifolds in compact symmetric spaces and compact Lie groups (in preparation), Biharmonic homogeneous hypersurfaces in compact symmetric spaces. Differ Geom Appl 43, 155–179 (2015)) [12, 13]. We give a necessary and sufficient condition for an isometric immersion whose tension field is parallel to be biharmonic. By this criterion, we study biharmonic orbits of commutative Hermann actions in compact symmetric spaces, and give some classifications.
- ID情報
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- DOI : 10.1007/978-981-10-5556-0_27
- ISSN : 2194-1017
- ISSN : 2194-1009
- SCOPUS ID : 85030181842