A Course in Metric Geometry
By D. Burago, Yu. D. Burago, Sergei Ivanov. 2001
1,265 citations recorded by the source corpus.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/9b81c6be94a3c3c43c9f4951bdf1bdeed15703c5
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Andrea Mondino
- Fabio Cavalletti
- Nicola Gigli
- Luigi Ambrosio
- Emanuel Milman
- T. Rajala
- Shin-ichi Ohta
- Karl‐Theodor Sturm
In Geometry and Topology
- Andrea Mondino
- Nicola Gigli
- Fabio Cavalletti
- Emanuel Milman
- Luigi Ambrosio
- J. Porti
- Shin-ichi Ohta
- Michael Kapovich
Citations in the corpus
- Fast convergence of empirical barycenters in Alexandrov spaces and the Wasserstein space (2019, methodology): “We refer the reader to [BBI01] and [AKP19] for an introduction.”
- Geometry of Carnot-Caratheodory Spaces, Differentiability, Coarea and Area Formulas (2009, methodology): “Let γ : [0, 1] → M be a Lipschitz horizontal path such that its length equal dcc(xl, yl) [22].”
- Fixed points of uniformly lipschitzian mappings (2006, neutral): “[2].”
- Structure theory of metric measure spaces with lower Ricci curvature bounds (2014, background): “s. fulfilling (2) for a given non-decreasing C : (0,∞) → (0,∞). 2.2. Pointedmeasured Gromov-Hausdorff topology andmeasured tangents. Wewill adopt the following definition of convergence of p.m.m.s (see [14], [34] and [48]): Definition 2.1 (Pointed measured Gromov-Hausdorff convergence). A sequence (X j”
- The Modular Gromov-Hausdorff Propinquity (2013, methodology): “ituent modular bridges. The length of a modular bridge, and by extension of a modular trek, replaces the notion of distortion for a correspondence sometimes used to define the Gromov-Hausdorff distance [2]. The modular propinquity between any two metrized quantum vector bundles Ω A and Ω B is the infim”
- Generalized multidimensional scaling: A framework for isometry-invariant partial surface matching (2006, background): “For bounded metric spaces S and Q, the GH distance can be defined alternatively (11) as”
- Flat convergence for integral currents in metric spaces (2005, background): “ace of curvature κ. This condition is some kind of global curvature condition. For example, complete Riemannian manifolds of sectional curvature bounded by κ are locally CAT(κ). See e.g. [Ba], [BrH], [BBI] for an account on such spaces. If X is a Banach space and B ⊂ X a bounded subset then we can s”