Cross Curvature Flow on Locally Homogenous Three-manifolds (I)

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/141355Chow and Hamilton introduced the cross curvature flow on closed 3-manifolds with negative or positive sectional curvature. In this paper, we study the negative cross curvature flow in the case of locally homogenous metrics on 3-manifolds. In each case, we describe the long time behavior of the solutions of the corresponding ODE system.18 pagesDifferential Geometry53C44Cross Curvature Flow on Locally Homogenous Three-manifolds (I)text