Harmonic map flow for almost-holomorphic maps
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2020
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929658190102528 |
|---|---|
| author | Song, Chong Waldron, Alex |
| author_facet | Song, Chong Waldron, Alex |
| contents | Let $Σ$ be a compact oriented surface and $N$ a compact Kähler manifold with nonnegative holomorphic bisectional curvature. For a solution of harmonic map flow starting from an almost-holomorphic map $Σ\to N$ (in the energy sense), the limit at each singular time extends continuously over the bubble points and no necks appear. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2009_07242 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Harmonic map flow for almost-holomorphic maps Song, Chong Waldron, Alex Differential Geometry Analysis of PDEs Let $Σ$ be a compact oriented surface and $N$ a compact Kähler manifold with nonnegative holomorphic bisectional curvature. For a solution of harmonic map flow starting from an almost-holomorphic map $Σ\to N$ (in the energy sense), the limit at each singular time extends continuously over the bubble points and no necks appear. |
| title | Harmonic map flow for almost-holomorphic maps |
| topic | Differential Geometry Analysis of PDEs |
| url | https://arxiv.org/abs/2009.07242 |