Lie Algebras and Lie Groups
Curvature is a measure of how much a geometric object deviates from being flat or straight. In the context of geometry and differential geometry, curvature describes the bending of surfaces or the space around points, playing a crucial role in understanding the shape of manifolds and the properties of Lie groups. It also helps in describing the behavior of geodesics, which are the shortest paths between points on a curved surface.
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