A. Iliashenko

activity

20232026

collaborators

3 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 $(X, ϕ)$ to the analytic properties of the space of Smith immersions $SmIm (B^{k}, X)$ from the Poincare $k$ -ball into $X…

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 $(X, ϕ)$ , we define notions of $R_{ϕ}$ -hyperbolicity and $ϕ$ -hyperbolicity, which respectively generali…

math.DG2023

A special class of $k$ -harmonic maps inducing calibrated fibrations

Anton Iliashenko, Spiro Karigiannis

We consider two special classes of $k$ -harmonic maps between Riemannian manifolds which are related to calibrated geometry, satisfying a first order fully nonlinear PDE. The first…

Montel's theorem and tautness in calibrated geometry

Hyperbolicity and Schwarz Lemmas in Calibrated Geometry

A special class of k-harmonic maps inducing calibrated fibrations

A special class of $k$ -harmonic maps inducing calibrated fibrations