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- W4383860809 abstract "We prove local Calabi and higher order estimates for solutions to the continuity equation introduced by La Nave-Tian and extended to Hermitian metrics by Sherman-Weinkove. We apply the estimates to show that on a compact complex manifold the Chern scalar curvature of a solution must blow up at a finite-time singularity. Additionally, starting from certain classes of initial data on Oeljeklaus-Toma manifolds we prove Gromov-Hausdorff and smooth convergence of the metric to a particular non-negative $(1,1)$-form as $ttoinfty$." @default.
- W4383860809 created "2023-07-11" @default.
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- W4383860809 date "2023-07-07" @default.
- W4383860809 modified "2023-10-18" @default.
- W4383860809 title "The continuity equation for Hermitian metrics: Calabi estimates, Chern scalar curvature and Oeljeklaus-Toma manifolds" @default.
- W4383860809 doi "https://doi.org/10.48550/arxiv.2307.03665" @default.
- W4383860809 hasPublicationYear "2023" @default.
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