Harmonic map flow for almost-holomorphic maps
Let $\Sigma$ 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 $\Sigma \to N$ (in the energy sense), the limit at each singular time extends continuously over the bubble points and no necks appear.
Authors
- Alex Waldron (ORCID: https://orcid.org/0000-0002-3686-1174)
- Chong Song (ORCID: https://orcid.org/0000-0003-4249-2034)
Institutions
- Xiamen University (CN)
Publication Details
- Journal
- Journal of Differential Geometry
- Published
- 2024-10-16
- DOI
- https://doi.org/10.4310/jdg/1729092458
- Citations
- 1
- Primary Topic
- Geometry and complex manifolds
- Type
- article
- Field-Weighted Citation Impact
- 1.01
Funders
- National Natural Science Foundation of China