CC BY-SA 4.0 UnportedRosenberg, JonathanWraith, David2022-08-052022-08-052019https://oa.tib.eu/renate/handle/123456789/9907http://dx.doi.org/10.34657/8945We introduce the idea of curvature, including how it developed historically, and focus on the scalar curvature of a manifold. A major current research topic involves understanding positive scalar curvature. We discuss why this is interesting and how it relates to general relativity.enghttps://creativecommons.org/licenses/by-sa/4.0/510Geometry and TopologyPositive Scalar Curvature and ApplicationsReport16 S.