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Short-time existence of solutions to the cross curvature flow on 3-manifolds

Buckland, John A.


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.

CollectionsANU Research Publications
Date published: 2006
Type: Journal article
Source: Proceedings of the American Mathematical Society
DOI: 10.1090/S0002-9939-05-08204-3


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