Metric Spaces of Non-Positive Curvature

Bridson, M. R., & Andre Haefliger, M. S. o. N. C. (1999). Metric Spaces of Non-Positive Curvature. Springer.

Type

Book

Intellectual base

Review or monograph

Year

1999

Link

no authoritative link yet

Cited by

2 citations across 2 artifacts.

Domain-specific

• Hadamard manifold
  • … the Riemannian metric is complete, simple connectivity holds, sectional curvature is nonpositive everywhere, and the invoked geodesic and exponential-map consequences have their hypotheses. to An applied instance preserves the same invariant under a changed scale, notation, jurisdiction, dataset, or implementation..
• Word metric
  • After choosing a symmetric generating set S, distance from g to h is the minimum S-word length of g inverse h; finite generating sets yield metrics equivalent up to quasi-isometry.

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