8 citations · 11 across the 10 of their papers we have counts for
10 papers
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…
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…
Holomorphicity of parabolic stable minimal surfaces of high codimension
Da Rong Cheng, Spiro Karigiannis, Jesse Madnick
A classical theorem of Micallef says that if is a stable minimal immersion of an oriented -dimensional complete Riemannian manifold (that is p…
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 , we define notions of -hyperbolicity and -hyperbolicity, which respectively generali…
Cohomogeneity-One Lagrangian Mean Curvature Flow
Jesse Madnick, Albert Wood
We study mean curvature flow of Lagrangians in that are cohomogeneity-one with respect to a compact Lie group acting linearly on $\mathbb{C}^…
A variational characterization of calibrated submanifolds
Da Rong Cheng, Spiro Karigiannis, Jesse Madnick
Let be a fixed compact oriented embedded submanifold of a manifold . Consider the volume as a function…
Free-Boundary Problems for Holomorphic Curves in the 6-Sphere
Jesse Madnick
We remark on two different free-boundary problems for holomorphic curves in nearly-Kähler 6-manifolds. First, we observe that a holomorphic curve in a geodesic ball of the roun…
Free-Boundary Minimal Surfaces of Constant Kahler Angle in Complex Space Forms
Jesse Madnick
In real space forms, Fraser and Schoen proved that a free-boundary minimal disk in a geodesic ball is totally geodesic. In this note, we consider free-boundary minimal surfaces …
Bubble Tree Convergence of Conformally Cross Product Preserving Maps
Da Rong Cheng, Spiro Karigiannis, Jesse Madnick
We study a class of weakly conformal -harmonic maps, called associative Smith maps, from -manifolds into -manifolds that parametrize associative -folds in Riemannian $7…
Nearly-Kahler 6-Manifolds of Cohomogeneity Two: Local Theory
Jesse Madnick
We study nearly-Kahler 6-manifolds equipped with a cohomogeneity-two Lie group action for which the principal orbits are coisotropic. If the metric is complete, then we show that t…