J Aramayona,J Aroca,M Cumplido et al.
J Aramayona et al.
Given g ∈ N ∪ { 0 , ∞ } , let Σ g denote the closed surface of genus g with a Cantor set removed, if g
William Geller,Michał Misiurewicz,Damian Sawicki
William Geller
Coarse geometry studies metric spaces on the large scale. The recently introduced notion of coarse entropy is a tool to study dynamics from the coarse point of view. We prove that all isometries of a given metric space have the same coarse ...
Cohomogeneity one solitons for the isometric flow of [Formula: see text] -structures [0.03%]
黎曼联络的等距流的余度量为1的孤立子解
Thomas A Ivey,Spiro Karigiannis
Thomas A Ivey
We consider the existence of cohomogeneity one solitons for the isometric flow of G 2 -structures on the following classes of torsion-free G 2 -manifolds: the Euclidean R 7 with its standard G 2 -structure, metric cylinders over Calabi...
Merlin Incerti-Medici
Merlin Incerti-Medici
We show that every cross ratio preserving homeomorphism between boundaries of Hadamard manifolds extends to a map, called circumcenter extension, provided that the manifolds satisfy certain visibility conditions. We describe regions on whic...
Michael Dymond,Vojtěch Kaluža
Michael Dymond
We introduce a hierarchy of equivalence relations on the set of separated nets of a given Euclidean space, indexed by concave increasing functions ϕ:(0,∞)→(0,∞). Two separated nets are called ϕ-displacement equiv...
Matteo Raffaelli
Matteo Raffaelli
A curve γ in a Riemannian manifold M is three-dimensional if its torsion (signed second curvature function) is well-defined and all higher-order curvatures vanish identically. In particular, when γ lies on an oriented hypersurface...
Feng Zhu
Feng Zhu
Relatively dominated representations give a common generalization of geometrically finiteness in rank one on the one hand, and the Anosov condition which serves as a higher-rank analogue of convex cocompactness on the other. This note prove...
Amir Mohammadi,Kasra Rafi
Amir Mohammadi
We prove a criterion for Benjamini-Schramm convergence of periodic orbits of Lie groups. This general observation is then applied to homogeneous spaces and the space of translation surfaces. ...
Transitivity and homogeneity of orthosets and inner-product spaces over subfields of [Formula: see text] [0.03%]
素域上的正交集和内积空间的传递性和均匀性
Thomas Vetterlein
Thomas Vetterlein
An orthoset (also called an orthogonality space) is a set X equipped with a symmetric and irreflexive binary relation ⊥ , called the orthogonality relation. In quantum physics, orthosets play an elementary role. In particular, a Hilbe...
Surface bundles over surfaces: new inequalities between signature, simplicial volume and Euler characteristic [0.03%]
曲面之间的表面丛：签名，单纯体积和欧拉特征数之间的新不等式
Michelle Bucher,Caterina Campagnolo
Michelle Bucher
We present three new inequalities tying the signature, the simplicial volume and the Euler characteristic of surface bundles over surfaces. Two of them are true for any surface bundle, while the third holds on a specific family of surface b...