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math.DG2012
On Ricci curvature and volume growth in dimension three
Martin Reiris
We prove that any complete metric on R^3 minus a ball with non-negative Ricci curvature and quadratic Ricci-curvature decay, has cubic volume growth.
math.DG2012★ 2 cited
A note on scalar curvature and the convexity of boundaries
Martin Reiris
We prove that any smooth Riemannian manifold of non-negative scalar curvature and with a strictly mean convex and compact boundary component can be (C^2) extended beyond the compon…