Peter Petersen
Abstract
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In this article we survey some of the developments in Riemannian geometry. We place special emphasis on explaining the relationship between curvature and topology for Riemannian manifolds with lower curvature bounds.
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In this article we survey some of the developments in Riemannian geometry. We place special emphasis on explaining the relationship between curvature and topology for Riemannian manifolds with lower curvature bounds.
Key concepts: Curvature of Riemannian manifolds, Riemannian geometry, Sectional curvature, Mathematics, Curvature, Scalar curvature, Geometry and topology, Prescribed scalar curvature problem