Lower order tensors in non-Kähler geometry and non-Kähler geometric flow

Abstract

In recent years, Streets and Tian introduced a series of curvature flows to study non-Kähler 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 Kähler and Hermitian geometries in certain sense.

To appear in Annals of Global Analysis and Geometry

References in corpus (3)

• Homogeneous and locally homogeneous solutions to symplectic curvature flow
• Pluriclosed flow, Born-Infeld geometry, and rigidity results for generalized Kähler manifolds
• Generalized Kähler-Ricci flow and the classification of nondegenerate generalized Kähler surfaces