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Manifolds with quadratic curvature decay and slow volume growth

Manifolds with quadratic curvature decay and slow volume growth

We show that there are topological obstructions for a noncompact manifold to admit a Riemannian metric with quadratic curvature decay and a volume growth which is slower than that of the Euclidean space of the same dimension. Nous montrons qu'il y a des obstructions topologiques pour qu'une variété non compacte …