Elliptic geometry is a non-Euclidean geometry characterized by the property that through any point not on a given line, there are no parallel lines. In this geometry, the sum of the angles of a triangle exceeds 180 degrees, and the space is positively curved, much like the surface of a sphere. This curvature influences important concepts such as Gaussian and mean curvatures, as well as constant curvature and Einstein manifolds, shaping our understanding of geometric properties in spaces with uniform positive curvature.
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