Real analyticity of the modified Laplacian coflow

Abstract Let be a solution of the modified Laplacian coflow (1.3) with coclosed ‐structures on a compact 7‐dimensional . We improve Chen's Shi‐type estimate [Q. J. Math. 69 (2018), no. 3, 779–797] for this flow, and then show that is real analytic, where is the Riemannian metric associated to , which answers a question proposed by Grigorian in [Fields Inst. Commun. 84 (2020), 271–286]. Consequently, we obtain the unique continuation results for this flow.

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Publication Details

Journal
Journal of the London Mathematical Society
Published
2026-02-01
DOI
https://doi.org/10.1112/jlms.70459
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
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article

Real analyticity of the modified Laplacian coflow

Chuanhuan Li, Yi Li
Journal of the London Mathematical Society
Geometric Analysis and Curvature Flows
article

Real analyticity of the modified Laplacian coflow

Chuanhuan Li, Yi Li
article en

Abstract

Abstract Let be a solution of the modified Laplacian coflow (1.3) with coclosed ‐structures on a compact 7‐dimensional . We improve Chen's Shi‐type estimate [Q. J. Math. 69 (2018), no. 3, 779–797] for this flow, and then show that is real analytic, where is the Riemannian metric associated to , which answers a question proposed by Grigorian in [Fields Inst. Commun. 84 (2020), 271–286]. Consequently, we obtain the unique continuation results for this flow.

Journal of the London Mathematical SocietyVol. 113(2)
Fudan University (CN), Shanghai Institute for Science of Science (CN), Shanghai Universities E-Institute for Chemical Biology (CN)
Openalex Percentile: Top 53%
Geometric Analysis and Curvature Flows
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