Manifolds with Quadratic Curvature Decay and Slow Volume Growth
classification
🧮 math.DG
keywords
curvaturedecaygrowthquadraticvolumeadmitdimensioneuclidean
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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 Euclidean space of the same dimension.
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