Lower order tensors in non-K\"ahler geometry and non-K\"ahler geometric flow
Abstract
In recent years, Streets and Tian introduced a series of curvature flows to study non-K\"ahler geometry. In this paper, we study how to construct second order curvature flows in a uniform way, under some natural assumptions which holds 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 K\"ahler and Hermitian geometries in certain sense.
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