Generalized cross curvature flow

2021/05/18 by Azami, Shahroud
#FOS: Mathematics #General Mathematics (math.GM)

paper · doi:10.48550/arxiv.2105.11907

Abstract

In this paper, for a given compact 3-manifold with an initial Riemannian metric and a symmetric tensor, we establish the short-time existence and uniqueness theorem for extension of cross curvature flow. We give an example of this flow on manifolds.

Related

• Long Time Existence of the Cross Curvature Flow in 3-Manifolds with Negative Sectional Curvature
• The Cross Curvature Flow of 3-manifolds with Negative Sectional Curvature
• Examples for Cross Curvature Flow on 3-Manifolds
• Cross Curvature Flow on Locally Homogenous Three-manifolds (I)
• Cross Curvature Flow on Locally Homogeneous Three-manifolds (II)