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
DOI registrant: American Mathematical Society
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.

Verification¶

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Does it back the claim? Not recorded. Neither this nor any other of the 5 citations of this work carries a recorded support check.

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