Abstract
In [4], the author introduced two parabolic flows; the almost Hermitian flow and the almost Hermitian curvature flow on a compact almost complex manifold. In this paper, we will develop some regularity results for solutions to these flows. We will derive higher order derivative estimates in the presence of a curvature bound. We also exhibit a long-time existence obstruction for solutions to the almost Hermitian curvature flow by showing smoothing estimates for the curvature and torsion.
Citation
Masaya Kawamura. "Regularity results for the almost Hermitian curvature flow." Tsukuba J. Math. 44 (1) 63 - 120, July 2020. https://doi.org/10.21099/tkbjm/20204401063
Information