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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63271This 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.44pp. To appear in Jour. Reine Angew. MathDifferential GeometryGeometric TopologyScalar curvature and the existence of geometric structures on 3-manifolds, Itext