Hartshorne ellipse

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.

References

Hartshorne, Robin (1978), "Stable vector bundles and instantons", Communications in Mathematical Physics 59 (1): 1–15, doi:10.1007/BF01614151, ISSN 0010-3616, MR 0480510

This article is issued from Wikipedia - version of the Saturday, April 18, 2015. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.