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math.DG2026
Long-time existence and uniqueness of the heterotic flow
Chuanhuan Li, Yi Li, Weijie Miao
In this paper, we prove the long-time existence of the heterotic flow with bounded Ricci curvature, torsion tensor and dilaton. Besides, we also get the forward and backward…
math.DG2026
Total scalar curvature under a curvature operator lower bound
Jian Ge, Chuanhuan Li, Ronggang Li
Let be a complete, simply connected Riemannian manifold without boundary, of dimension , with curvature operator at least that of the unit sphere. We prove that…
math.DG2026
Long-time existence of some geometric flows with bounded scalar curvature
Chuanhuan Li, Yi Li
The analysis of singularities in scalar curvature is a classical problem. In this survey, we investigate the behavior of scalar curvature under several geometric flows, with a focu…