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Pré-Publication, Document De Travail Année : 2013

New minimal surfaces in S^3 desingularizing the Clifford tori

Résumé

For each integer m>1 and l>0 we construct a pair of compact embedded minimal surfaces of genus 1+4m(m-1)l. These surfaces desingularize the m Clifford tori meeting each other along a great circle at the angle of \pi/m. They are invariant under a finite group of screw motions and have no reflection symmetry across a great sphere.

Dates et versions

hal-00849092 , version 1 (30-07-2013)

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Jaigyoung Choe, Marc Soret. New minimal surfaces in S^3 desingularizing the Clifford tori. 2013. ⟨hal-00849092⟩
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