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math.DG2026
Montel's theorem and tautness in calibrated geometry
Anton Iliashenko, Spiro Karigiannis, Jesse Madnick
We relate the hyperbolicity of a calibrated manifold to the analytic properties of the space of Smith immersions from the Poincare -ball into $X…
math.DG2026
The Morse index of constant curvature 2-spheres
Gavin Ball, Jesse Madnick
In the round -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…