Séminaire de Géométrie

Higher dimensional helicoids foliated by minimal cones
Hojoo Lee (KIAS, Corée du Sud)
Wednesday 07 December 2016 14:00 -  Tours -  Salle 1180 (Bât E2)

Résumé :
> B. Riemann discovered a family of complete, embedded, singly periodic minimal surfaces in three dimensional Euclidean space foliated by circles and lines, and showed that his staircases, planes, catenoids, and helicoids are the only minimal surfaces fibered by circles or lines in parallel planes. Motivated by the Choe-Hoppe helicoid foliated by Clifford cones, we explicitly construct new minimal varieties of higher codimension in higher dimensional Euclidean space. For instance, we obtain minimal varieties foliated by the Harvey-Lawson cone over Clifford torus. This is joint work with E. Lee.

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