Hartshorne ellipse

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In mathematics, a Hartshorne ellipse is an ellipse in the unit ball bounded by the 4-sphere S⁴ such that the ellipse and the circle given by intersection of its plane with S⁴ satisfy the Poncelet condition that there is a triangle with vertices on the circle and edges tangent to the ellipse. They were introduced by Hartshorne (1978), who showed that they correspond to k = 2 instantons on S⁴.