In higher dimensions the Riemann curvature tensor is a more complicated object, but manifolds with constant sectional curvature are interesting objects of study, and have strikingly different properties, as discussed at sectional curvature. Indeed, by the uniformization theorem every surface can be taken to be globally (at every point) positively curved, flat, or negatively curved. Here is the work of the Algebra 1 and Algebra 2 students at my school.For conics in standard position, these parameters have the following values, taking a, b > 0.
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