On harmonic and biharmonic maps from gradient Ricci solitons
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917721737789440 |
|---|---|
| author | Branding, Volker |
| author_facet | Branding, Volker |
| contents | We study harmonic and biharmonic maps from gradient Ricci solitons. We derive a number of analytic and geometric conditions under which harmonic maps are constant and which force biharmonic maps to be harmonic. In particular, we show that biharmonic maps of finite energy from the two-dimensional cigar soliton must be harmonic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_09544 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On harmonic and biharmonic maps from gradient Ricci solitons Branding, Volker Differential Geometry We study harmonic and biharmonic maps from gradient Ricci solitons. We derive a number of analytic and geometric conditions under which harmonic maps are constant and which force biharmonic maps to be harmonic. In particular, we show that biharmonic maps of finite energy from the two-dimensional cigar soliton must be harmonic. |
| title | On harmonic and biharmonic maps from gradient Ricci solitons |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2205.09544 |