A Course in Metric Geometry

Burago, D., Burago, Y., & Ivanov, S. (2001). A Course in Metric Geometry. Graduate Studies in Mathematics.

Type

Book

Intellectual base

Textbook

Year

2001

DOI

10.1090/gsm/033

ISBN

9780821821299

Link

https://doi.org/10.1090/gsm/033

Cited by

5 citations across 5 artifacts.

Domain-specific

• Gromov–Hausdorff convergence
  • Gromov–Hausdorff convergence is a convergence notion for metric spaces defined by their Gromov–Hausdorff distance tending to zero after comparison in common ambient metrics.
• Gromov's compactness theorem (geometry)
  • The entry records a descriptive analytical identity; practical use requires the governing domain's evidence, standards, and safety obligations.
• Isometry group
  • The entry records a descriptive analytical identity; practical use requires the governing domain's evidence, standards, and safety obligations.
• Motion (geometry)
  • In metric geometry, a motion is conventionally a surjective isometry: a map \(f:X\to X\) satisfying \(d(f(x),f(y))=d(x,y)\) for all \(x,y\), with some Euclidean sources restricting the word to orientation-preserving motions.
• Polyhedral space
  • Euclidean polyhedral spaces use flat simplices, while spherical and hyperbolic variants use constant positive or negative curvature; singular geometry is concentrated where simplex links fail to match a manifold model.

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