Equivariant primitive harmonic maps into $k-$symmetric spaces, with applications to Willmore surfaces
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866907960132763648 |
|---|---|
| author | Dorfmeister, Josef F. Wang, Peng |
| author_facet | Dorfmeister, Josef F. Wang, Peng |
| contents | In this note we discuss the construction of equivariant primitive harmonic maps into $k-$symmetric spaces and give many applications to the construction of Willmore surfaces. In particular, examples of $S^1-$equivariant Willmore Moebius strips in $S^3$ are obtained as generalizations of the Lawson minimal Klein Bottles in $S^3$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_19265 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Equivariant primitive harmonic maps into $k-$symmetric spaces, with applications to Willmore surfaces Dorfmeister, Josef F. Wang, Peng Differential Geometry In this note we discuss the construction of equivariant primitive harmonic maps into $k-$symmetric spaces and give many applications to the construction of Willmore surfaces. In particular, examples of $S^1-$equivariant Willmore Moebius strips in $S^3$ are obtained as generalizations of the Lawson minimal Klein Bottles in $S^3$. |
| title | Equivariant primitive harmonic maps into $k-$symmetric spaces, with applications to Willmore surfaces |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2406.19265 |