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The Morse index of constant curvature 2-spheres
[Submitted on 4 Jun 2026 (v1), last revised 16 Jun 2026 (this ve · 2026-06-18 · via math updates on arXiv.org

Mathematics > Differential Geometry

arXiv:2606.06634 (math)

[Submitted on 4 Jun 2026 (v1), last revised 16 Jun 2026 (this version, v2)]

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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 $S^6$.

Submission history

From: Jesse Madnick [view email]
[v1] Thu, 4 Jun 2026 18:34:35 UTC (21 KB)
[v2] Tue, 16 Jun 2026 18:49:19 UTC (21 KB)

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