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...
Bruno Martelli,Stefano Riolo,Leone Slavich
Bruno Martelli
We show that every plumbing of disc bundles over surfaces whose genera satisfy a simple inequality may be embedded as a convex submanifold in some closed hyperbolic four-manifold. In particular its interior has a geometrically finite hyperb...
On the quasi-isometric and bi-Lipschitz classification of 3D Riemannian Lie groups [0.03%]
三维黎曼李群的准等距及双 Lipschtz 分类
Katrin Fässler,Enrico Le Donne
Katrin Fässler
This note is concerned with the geometric classification of connected Lie groups of dimension three or less, endowed with left-invariant Riemannian metrics. On the one hand, assembling results from the literature, we give a review of the co...
Christopher H Cashen
Christopher H Cashen
We prove that Morse subsets of CAT(0) spaces are strongly contracting. This generalizes and simplifies a result of Sultan, who proved it for Morse quasi-geodesics. Our proof goes through the recurrence characterization of Morse subsets. ...
Mason Pember
Mason Pember
Weierstrass-type representations have been used extensively in surface theory to create surfaces with special curvature properties. In this paper we give a unified description of these representations in terms of classical transformation th...
On the topology of surfaces with the generalised simple lift property [0.03%]
具有一般化简单提升性质的曲面的拓扑学问题研究
Francesca Tripaldi
Francesca Tripaldi
In this paper, we study the geometry of surfaces with the generalised simple lift property. This work generalises previous results by Bernstein and Tinaglia (J Differ Geom 102(1):1-23, 2016) and it is motivated by the fact that leaves of a ...