3 papers
math.DG2025
Marked Poincaré rigidity near hyperbolic metrics and injectivity of the Lichnerowicz Laplacian in dimension 3
Karen Butt, Alena Erchenko, Tristan Humbert +2
Let be a compact manifold without boundary equipped with a Riemannian metric of negative curvature. In this paper, we introduce the marked Poincaré determinant (MPD), a ho…
math.DS2025
The symmetries of affine -systems and a program for centralizer rigidity
Danijela DamjanoviÄ, Amie Wilkinson, Chengyang Wu +1
Let Aff(X) be the group of affine diffeomorphisms of a closed homogeneous manifold X=G/B admitting a G-invariant Lebesgue-Haar probability measure . For Aff(X), let $Z…
math.DS2025
Minimality of Strong Foliations of Anosov and Partially Hyperbolic Diffeomorphisms
Artur Avila, Sylvain Crovisier, Amie Wilkinson
We study the topological properties of expanding invariant foliations of diffeomorphisms, in the context of partially hyperbolic diffeomorphisms and laminations with -d…