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arXiv · 2001.02549

Lower Bounds for the Volume with Upper Bounds for the Ricci Curvature in Dimension Three

Vicent Gimeno
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Abstract

In this note we provide several lower bounds for the volume of a geodesic ball within the injectivity radius in a $3$-dimensional Riemannian manifold assuming only upper bounds for the Ricci curvature.

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Vicent Gimeno. 2020-01-08. Lower Bounds for the Volume with Upper Bounds for the Ricci Curvature in Dimension Three. https://doi.org/10.1112/blms.12410

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