Results 41 to 50 of about 300,261 (100)
Metric geometry of normal K\"ahler spaces, energy properness, and existence of canonical metrics [PDF]
, 2016 Let $(X,\omega)$ be a compact normal K\"ahler space, with Hodge metric $\omega$. In this paper, the last in a sequence of works studying the relationship between energy properness and canonical K\"ahler metrics, we introduce a geodesic metric structure ...
Tam'as Darvas
semanticscholar +1 more source
Sub-Riemannian geometry and Lie groups. Part II. Curvature of metric spaces, coadjoint orbits and associated representations [PDF]
arXiv, 2004 This paper is the third in a series dedicated to the fundamentals of sub-Riemannian geometry and its implications in Lie groups theory: "Sub-Riemannian geometry and Lie groups. Part I", math.MG/0210189, available at http://arxiv.org/abs/math.MG/0210189, and "Tangent bundles to sub-Riemannian groups", math.MG/0307342, available at http://arxiv.org/abs ...
arxiv
Total orders on compact metric spaces and covering dimension [PDF]
arXiv, 2022 We prove that for a compact metric space the property of having finite covering dimension is equivalent to the existence of a total order with finite snake number.
arxiv
Trimming of finite metric spaces [PDF]
arXiv, 2016 We define a class of trim metric spaces and show that every finite metric space is the leaf space of a metric forest with trim base.
arxiv
Coincidence site modules in 3-space
, 2006 The coincidence site lattice (CSL) problem and its generalization to Z-modules in Euclidean 3-space is revisited, and various results and conjectures are proved in a unified way, by using maximal orders in quaternion algebras of class number 1 over ...
Baake, Michael +2 more
core +2 more sources
Quasi-metric and metric spaces [PDF]
arXiv, 2006 We give a short review of a construction of Frink to obtain a metric space from a quasi-metric space. By an example we illustrate the limits of the construction.
arxiv
An introduction to the geometry of metric spaces [PDF]
arXiv, 2007 These informal notes deal with some basic properties of metric spaces, especially concerning lengths of curves.
arxiv
On the Hilbert Geometry of products [PDF]
, 2011 We prove that the Hilbert geometry of a product of convex sets is bi-lipschitz equivalent the direct product of their respective Hilbert geometries.
Vernicos, Constantin
core
Another introduction to the geometry of metric spaces [PDF]
arXiv, 2007 Here Lipschitz conditions are used as a primary tool, for studying curves in metric spaces in particular.
arxiv
Metric Geometry in a Tame Setting
Bulletin of Symbolic Logic, 2018 We prove basic results about the topology and metric geometry of metric spaces which are definable in o-minimal expansions of ordered fields.
Erik Walsberg
semanticscholar +1 more source