Willmore Spheres in Quaternionic Projective Space
نویسنده
چکیده
The Willmore energy for Frenet curves in quaternionic projective space HP is the generalization of the Willmore functional for immersions into S. Critical points of the Willmore energy are called Willmore curves in HP. Using a Bäcklund transformation on Willmore curves, we generalize Bryant’s result on Willmore spheres in 3–space: a Willmore sphere in HP has integer Willmore energy, and is given by complex holomorphic data.
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تاریخ انتشار 2002