Short-time existence of solutions to the cross curvature flow on 3-manifolds
Given a compact 3-manifold with an initial Riemannian metric of positive (or negative) sectional curvature, we prove the short-time existence of a solution to the cross curvature flow. This is achieved using an idea first introduced by DeTurck (1983) in his work establishing the short-time existence of solutions to the Ricci flow.
|Collections||ANU Research Publications|
|Source:||Proceedings of the American Mathematical Society|
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