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math.DG2024
New minimal surface doublings of the Clifford torus and contributions to questions of Yau
Nikolaos Kapouleas, Peter McGrath
The purpose of this article is three-fold. First, we apply a general theorem from our earlier work to produce many new minimal doublings of the Clifford Torus in the round three-sp…
math.DG2024
Minimal hypersurfaces in by doubling the equatorial
Nikolaos Kapouleas, Jiahua Zou
For each large enough we construct by PDE gluing methods a closed embedded smooth minimal hypersurface doubling the equatorial three-sphere $\mathb…