Results 51 to 60 of about 300,261 (100)
Elementary aspects of the geometry of metric spaces [PDF]
arXiv, 2007 The setting of metric spaces is very natural for numerous questions concerning manifolds, norms, and fractal sets, and a few of the main ingredients are surveyed here.
arxiv
Differentiable structures on metric measure spaces: A Primer [PDF]
arXiv, 2011 This is an exposition of the theory of differentiable structures on metric measures spaces, in the sense of Cheeger and Keith.
arxiv
Intrinsic L_p metrics for convex bodies [PDF]
arXiv, 2003 Intrinsic $L_p$ metrics are defined and shown to satisfy a dimension--free bound with respect to the Hausdorff metric.
arxiv
Thurston's sphere packings on 3-dimensional manifolds, I
, 2020 Thurston's sphere packing on a 3-dimensional manifold is a generalization of Thusrton's circle packing on a surface, the rigidity of which has been open for many years.
He, Xiaokai, Xu, Xu
core
Asymptotic behavior of metric spaces at infinity [PDF]
arXiv, 2017 A new sequential approach to investigations of structure of metric spaces at infinity is proposed. Criteria for finiteness and boundedness of metric spaces at infinity are found.
arxiv
The Maximal Generalised Roundness Of Finite Metric Spaces [PDF]
arXiv, 2020 We provide two simplifications of Sanchez's formula for the maximum generalised roundness of a finite metric space.
arxiv
Spaces with many affine functions [PDF]
arXiv, 2005 We describe all metric spaces that have sufficently many affine functions. As an application we obtain a metric characterization of linear-convex subsets of Banach spaces.
arxiv
The de Rham decomposition theorem for metric spaces [PDF]
arXiv, 2006 We generalize the classical de Rham decomposition theorem for Riemannian manifolds to the setting of geodesic metric spaces of finite dimension.
arxiv
Lecture notes: Semidefinite programs and harmonic analysis
, 2008 Lecture notes for the tutorial at the workshop HPOPT 2008 - 10th International Workshop on High Performance Optimization Techniques (Algebraic Structure in Semidefinite Programming), June 11th to 13th, 2008, Tilburg University, The Netherlands.Comment ...
Vallentin, Frank
core
An application of metric cotype to quasisymmetric embeddings [PDF]
arXiv, 2006 We apply the notion of metric cotype to show that $L_p$ admits a quasisymmetric embedding into $L_q$ if and only if $p\le q$ or $q\le p\le 2$.
arxiv