49 citations · 161 across the 19 of their papers we have counts for
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Index and nullity of minimal surface doublings, I
Nikolaos Kapouleas, Jiahua Zou
We prove that for any large enough , the genus equator-poles minimal surface doubling of the equatorial two-sphere in th…
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…
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…
New low-genus desingularizations of three Clifford tori and related characterizations
Nikolaos Kapouleas, David Wiygul
For each nonnegative integer we construct in the round three-sphere a closed embedded minimal surface of genus which can be interpreted as a desingularization of the u…
Free Boundary Minimal Annuli Immersed in the Unit 3-Ball
Nikolaos Kapouleas, Peter McGrath
Using the linearized doubling methodology we carry out a PDE gluing construction of a discrete family of non-rotational properly immersed free boundary minimal annuli in the Euclid…
Free Boundary Minimal surfaces in the Euclidean Three-Ball close to the boundary
Nikolaos Kapouleas, Jiahua Zou
We construct free boundary minimal surfaces (FBMS) embedded in the unit ball in the Euclidean three-space which are compact, lie arbitrarily close to the boundary unit sphere, are…