Scalar curvature and the existence of geometric structures on 3-manifolds, I
Differential Geometry
2007-05-23 v1 Geometric Topology
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.
Keywords
Cite
@article{arxiv.math/0202029,
title = {Scalar curvature and the existence of geometric structures on 3-manifolds, I},
author = {Michael T. Anderson},
journal= {arXiv preprint arXiv:math/0202029},
year = {2007}
}
Comments
44pp. To appear in Jour. Reine Angew. Math