Jesse Madnick

collaborators

4 papers

math.DG2026

Montel's theorem and tautness in calibrated geometry

Anton Iliashenko, Spiro Karigiannis, Jesse Madnick

We relate the hyperbolicity of a calibrated manifold $(X, I ¨ )$ to the analytic properties of the space of Smith immersions $SmIm (B^{k}, X)$ from the Poincare $k$ -ball into $…

math.DG2026

The Morse index of constant curvature 2-spheres

Gavin Ball, Jesse Madnick

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…

math.DG2025

Hyperbolicity and Schwarz Lemmas in Calibrated Geometry

Kyle Broder, Anton Iliashenko, Jesse Madnick

This paper has two main objectives. First, for an arbitrary calibrated manifold $(X, I ¨ )$ , we define notions of $R_{I ¨} $ -hyperbolicity and $I ¨ $ -hyperbolicity, which respectively gener…

math.DG2025

Holomorphicity of parabolic stable minimal surfaces of high codimension

Da Rong Cheng, Spiro Karigiannis, Jesse Madnick

A classical theorem of Micallef says that if $F : (I^£, g) \to R^{4}$ is a stable minimal immersion of an oriented $2$ -dimensional complete Riemannian manifold (that is…