2 papers
math.DG2025
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…
math.DG2023
Extrinsic geometry of calibrated submanifolds
Spiro Karigiannis, Lucía Martín-Merchán
Given a calibration whose stabilizer acts transitively on the Grassmanian of calibrated planes, we introduce a nontrivial Lie-theoretic condition on , which we call complian…