91 citations · 424 across the 32 of their papers we have counts for
33 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…
Flows of conformally coclosed -structures with dilaton
Spiro Karigiannis, Sébastien Picard, Caleb Suan
We study flows of -structures guided by the principle of dimensional reduction: natural geometric flows in -geometry reduce to natural flows in complex geometry. Our main…
Non-squeezing and capacities for some calibrated geometries
Kain Dineen, Spiro Karigiannis
It was shown by Barron--Shafiee that an analogue of Gromov's non-squeezing theorem holds for affine maps which preserve a power of the symplectic form on $\mathbb{R}^{2n}…
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…
Hodge theoretic results for nearly Kähler manifolds in all dimensions
Michael Albanese, Spiro Karigiannis, Lucía Martín-Merchán +1
We generalize to nearly Kähler manifolds of arbitrary dimensions most of the Hodge-theoretic results for nearly Kähler -manifolds that were established by Verbitsky. In particul…
BRIDGES Lectures: Flows of geometric structures, especially -structures
Spiro Karigiannis
The BRIDGES meeting in gauge theory, extremal structures, and stability was held June 2024 at l'Institut d'Études Scientifiques de Cargèse in Corsica, organized by Daniele Faenzi,…