It is shown that bounds of all orders of derivative would follow from uniform bounds for the metric and the torsion 1-form, for a flow in non-Kähler geometry which can be interpreted as either a flow for the Type IIB string or the Anomaly flow with source term and zero slope parameter. A key ingredient in the proof is a formulation of this flow unifying it with the Ricci flow, which was recently found.
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Work supported in part by the National Science Foundation Grants DMS-1855947 and DMS-1809582.
Communicated by Ngaiming Mok.
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Fei, T., Phong, D.H., Picard, S. et al. Estimates for a geometric flow for the Type IIB string. Math. Ann. (2021). https://doi.org/10.1007/s00208-021-02171-0