Abstract
In recent years, Streets and Tian introduced a series of curvature flows to study non-Kahler geometry. In this paper, we study how to construct the second-order curvature flows in a uniform way, under some natural assumptions which hold in Streets and Tian’s works. As a result, by classifying the lower order tensors, we classify the second-order curvature flows in almost Hermitian, almost Kahler, and Hermitian geometries in certain sense. In particular, the Symplectic Curvature Flow is the unique way to generalize Ricci Flow on almost Kahlermanifolds.
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