Examples for Cross Curvature Flow on 3-Manifolds
Li Ma, Dezhong Chen
Abstract
Recently, B.Chow and R.S.Hamilton introduced the cross curvature flow on 3-manifolds. In this paper, we analyze two interesting examples for this new flow. One is on a square torus bundle over a circle, and the other is on a S2 bundle over a circle. We show that the global flow exist in both cases. But on the former the flow diverges at time infinity, and on the latter the flow converges at time infinity.
Create a lesson
Related papers
Uniqueness of Ricci flows from singular initial data
Laura Flower, Man-Chun Lee, Felix Schulze
Generalised Killing Spinors and Euclidean Hypersurfaces
Samuel Forster, Marie-Amélie Lawn
Perelman's entropy and Gromov-Hausdorff versus dynamical stability of round spheres
Reto Buzano, Shengwen Wang
An ambient metric framework for sharp compactness of the constant Q2N-curvature problem
Liuwei Gong, Seunghyeok Kim, Juncheng Wei
Rigidity of Ricci solitons for φ-related metallic semi-Riemannian structures on para-Kenmotsu manifolds
Yasemin Karababa
On isotropic points and contact invariants of curves
Amanda Dias Falqueto, Juan J. Nuño Ballesteros, Raúl Oset Sinha