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Scalar curvature and the existence of geometric structures on 3-manifolds, I

Michael T. Anderson
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Abstract

This paper analyses the convergence and degeneration of sequences of metrics on a 3-manifold, and relations of such with Thurston's geometrization conjecture. The sequences are minimizing sequences for a certain (optimal) scalar-curvature type functional and their degeneration is related to the sphere and torus decompositions of the 3-manifold under certain conditions.

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Michael T. Anderson. 2002-02-04. Scalar curvature and the existence of geometric structures on 3-manifolds, I. https://arxiv.org/abs/math/0202029

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