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20172026
most citedThe number of convex tilings of the sphere by triangles, squares, or hexagons

15 citations · 33 across the 7 of their papers we have counts for

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5 papers · 1 filter

math.DG2022★ 5 cited

Unstable minimal surfaces in symmetric spaces of non-compact type

Nathaniel Sagman, Peter Smillie

We prove that if is a closed surface of genus at least 3 and is a split real semisimple Lie group of rank at least acting faithfully by isometries on a symmetric space…

math.DG2022

Completeness of convex entire surfaces in Minkowski 3-space

Francesco Bonsante, Andrea Seppi, Peter Smillie

We prove four results towards a description, in terms of the null support function, of the set of isometric embeddings of the hyperbolic plane into Minkowski 3-space. We show that…

math.DG2022★ 2 cited

Unstable minimal surfaces in and in products of hyperbolic surfaces

Vladimir Markovic, Nathaniel Sagman, Peter Smillie

We prove that every unstable equivariant minimal surface in produces a maximal representation of a surface group into toget…

math.DG2019★ 2 cited

Complete CMC hypersurfaces in Minkowski (n+1)-space

Francesco Bonsante, Andrea Seppi, Peter Smillie

We prove that any regular domain in Minkowski space is uniquely foliated by spacelike constant mean curvature (CMC) hypersurfaces. This completes the classification of entire space…

math.DG2018

Entire surfaces of constant curvature in Minkowski 3-space

Francesco Bonsante, Andrea Seppi, Peter Smillie

This paper concerns the global theory of properly embedded spacelike surfaces in three-dimensional Minkowski space in relation to their Gaussian curvature. We prove that every regu…