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arXiv · 2606.06634

The Morse index of constant curvature 2-spheres

Gavin Ball·Jesse Madnick
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Abstract

In the round $N$-sphere, we calculate the Morse index and nullity of all immersed minimal 2-spheres having constant Gauss curvature. We also obtain bounds on the stability index of the associative cone in $R^7$ whose link is the Boruvka sphere in $S^6$.

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Gavin Ball, Jesse Madnick. 2026-06-04. The Morse index of constant curvature 2-spheres. https://arxiv.org/abs/2606.06634

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