Zobrazeno 1 - 10
of 95
pro vyhledávání: '"McReynolds, D. B."'
Autor:
Golich, Milana, McReynolds, D. B.
We establish an analog of a theorem of Stallings which asserts the homomorphisms between the universal nilpotent quotients induced by a homomorphism $G \to H$ of groups are isomorphisms provided a pair of homological conditions are satisfied. Our ana
Externí odkaz:
http://arxiv.org/abs/2310.08283
Inspired by work of Besson-Courtois-Gallot, we construct a flow called the natural flow on a nonpositively curved Riemannian manifold $M$. As with the natural map, the $k$-Jacobian of the natural flow is directly related to the critical exponent $\de
Externí odkaz:
http://arxiv.org/abs/2302.12665
We prove that certain Fuchsian triangle groups are profinitely rigid in the absolute sense, i.e. each is distinguished from all other finitely generated, residually finite groups by its set of finite quotients. We also develop a method based on chara
Externí odkaz:
http://arxiv.org/abs/2004.07137
Autor:
McReynolds, D. B., Pengitore, Mark
For finitely generated groups $G$ and $H$ equipped with word metrics, a translation-like action of $H$ on $G$ is a free action where each element of $H$ moves elements of $G$ a bounded distance. Translation-like actions provide a geometric generaliza
Externí odkaz:
http://arxiv.org/abs/1911.12175
We construct arithmetic Kleinian groups that are profinitely rigid in the absolute sense: each is distinguished from all other finitely generated, residually finite groups by its set of finite quotients. The Bianchi group $\mathrm{PSL}(2,\mathbb{Z}[\
Externí odkaz:
http://arxiv.org/abs/1811.04394
The geodesic length spectrum of a complete, finite volume, hyperbolic 3-orbifold M is a fundamental invariant of the topology of M via Mostow-Prasad Rigidity. Motivated by this, the second author and Reid defined a two-dimensional analogue of the geo
Externí odkaz:
http://arxiv.org/abs/1707.03079
Publikováno v:
C. R. Math. Acad. Sci. Paris 355 (2017), 1121-1126
In 1992, Reid asked whether hyperbolic 3-manifolds with the same geodesic length spectra are necessarily commensurable. While this is known to be true for arithmetic hyperbolic 3-manifolds, the non-arithmetic case is still open. Building towards a ne
Externí odkaz:
http://arxiv.org/abs/1705.08034
In this paper we construct arbitrarily large families of smooth projective varieties and closed Riemannian manifolds that share many algebraic and analytic invariants. For instance, every non-arithmetic, closed hyperbolic $3$--manifold admits arbitra
Externí odkaz:
http://arxiv.org/abs/1705.01647
Publikováno v:
Michigan Math. J. 68 (2019), pgs. 251--275
We study closed non-positively curved Riemannian manifolds $M$ which admit `fat $k$-flats': that is, the universal cover $\tilde M$ contains a positive radius neighborhood of a $k$-flat on which the sectional curvatures are identically zero. We inves
Externí odkaz:
http://arxiv.org/abs/1704.00857
Publikováno v:
Annals of Mathematics, 2020 Nov 01. 192(3), 679-719.
Externí odkaz:
https://www.jstor.org/stable/10.4007/annals.2020.192.3.1