Scalar Curvature and the Existence of Geometric Structures on 3-manifolds, I
نویسنده
چکیده
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.
منابع مشابه
Scalar Curvature and the Existence of Geometric Structures on 3-manifolds, Ii
This paper studies the degeneration, i.e curvature blow-up, of sequences of metrics approaching the Sigma constant σ(M) on 3-manifolds M with σ(M) ≤ 0. The degeneration is related to the sphere decomposition of M in case M is σ-tame.
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تاریخ انتشار 1999