CLASSIFICATION OF HOMOGENEOUS WILLMORE SURFACES IN S^n

• Dorfmeister Josef

• Wang Peng

抄録

In this note we consider homogeneous Willmore surfaces in S^n+2. The main result is that a homogeneous Willmore two-sphere is conformally equivalent to a homogeneous minimal twosphere in S^n+2, i.e., either a round two-sphere or one of the Boruvka-Veronese 2-spheres in S^2m. This entails a classification of all Willmore CP^1 in S^2m. As a second main result we show that there exists no homogeneous Willmore upper-half plane in S^n+2 and we give, in terms of special constant potentials, a simple loop group characterization of all homogeneous surfaces which have an abelian transitive group.

収録刊行物

• Osaka Journal of Mathematics

  Osaka Journal of Mathematics 57 (4), 805-817, 2020-10

  Osaka University and Osaka City University, Departments of Mathematics

詳細情報

• CRID: 1390290699795410176
• NII論文ID: 120006900872
• NII書誌ID: AA00765910
• DOI: 10.18910/77231
• HANDLE: 11094/77231
• ISSN: 00306126
• Web Site: https://dlisv03.media.osaka-cu.ac.jp/il/meta_pub/G0000438repository_00306126-57-4-805
• 本文言語コード: en
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