Year: 2024
Type: article
Abstract: 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.
Source: Journal of Differential Geometry
Authors: Chong Song, Alex Waldron
Institutions: Xiamen University, University of Wisconsin–Madison
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4287667172