A Course in Metric Geometry

@inproceedings{Burago2001ACI,
  title={A Course in Metric Geometry},
  author={D. Burago and Yuri Burago and S. Ivanov},
  year={2001}
}
  • D. Burago, Yuri Burago, S. Ivanov
  • Published 2001
  • Mathematics
    • Metric Spaces Length Spaces Constructions Spaces of Bounded Curvature Smooth Length Structures Curvature of Riemannian Metrics Space of Metric Spaces Large-scale Geometry Spaces of Curvature Bounded Above Spaces of Curvature Bounded Below Bibliography Index. 
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    1,462 Citations
    Highly Influencial Citations
    137
    Background Citations
    539
    Methods Citations
    127
    Results Citations
    14
    1,462 Citations
    Citation Type

    Citation Type

    Geodesic spaces tangent to metric spaces
    • 5
    The space of spaces: curvature bounds and gradient flows on the space of metric measure spaces
    • 35
    • PDF
    Alexandrov Curvature of the Space of Compact Metric Spaces
    • 4
    • PDF
    Convergence of Brownian Motions on Metric Measure Spaces Under Riemannian Curvature-Dimension Conditions
    • 3
    • PDF
    Asymptotic volume in hilbert geometries
    • 7
    • PDF
    Products of Hyperbolic Metric Spaces
    • 5
    • PDF
    Lipschitz and path isometric embeddings of metric spaces
    • 18
    • PDF
    Products of hyperbolic metric spaces II
    • PDF
    The asymptotic rank of metric spaces
    • 12
    • Highly Influenced
    • PDF
    Asymptotic upper curvature bounds in coarse geometry
    • 20
    • PDF

    References

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    Warped products of metric spaces of curvature bounded from above
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    Geometry of Manifolds
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    Riemannian Geometry: A Modern Introduction
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    The local structure of length spaces with curvature bounded above
    • 135
    • PDF
    A CONVERGENCE THEOREM IN THE GEOMETRY OF ALEXANDROV SPACES
    • 53
    • PDF
    Quasi-geodesic segments and Gromov hyperbolic spaces
    • 37
    • PDF
    Geometry of Nonpositively Curved Manifolds
    • 350
    QUASIGEODESICS AND GRADIENT CURVES IN ALEXANDROV SPACES
    • 45
    • PDF
    Analysis On Manifolds
    • 190