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20192026
most citedThe Mean Curvature of Special Lagrangian 3-folds in SU(3)-Structures with Torsion

2 citations · 5 across the 10 of their papers we have counts for

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math.DG2023

The Morse index of quartic minimal hypersurfaces

Gavin Ball, Jesse Madnick, Uwe Semmelmann

The homogeneous minimal hypersurfaces in have , or distinct (constant) principal curvatures. While the Morse index and nullity have been calculated for all s…

math.DG2023★ 1 cited

Calibrated Geometry in Hyperkahler Cones, 3-Sasakian Manifolds, and Twistor Spaces

Benjamin Aslan, Spiro Karigiannis, Jesse Madnick

We systematically study calibrated geometry in hyperkähler cones , their 3-Sasakian links , and the corresponding twistor spaces , emphasizing the rel…

math.DG2023

A Spinorial Hopf Differential for Associative Submanifolds

Gavin Ball, Jesse Madnick

Given a CMC surface in , its traceless second fundamental form can be viewed as a holomorphic section called the Hopf differential. By analogy, we show that for an associative…