Concepedia

Length Spaces

Length Spaces is a metric space in which the distance between any two points equals the infimum of the lengths of all rectifiable curves connecting them, distinguishing it from general metric spaces by emphasizing intrinsic path-based distance measurement.

32

Publications

2.1K

Citations

37

Authors

37

Institutions

Publications per year

2017–2026

13

Variants

Intrinsic Metric Spaces

Parents

Publications

32

Ricci curvature for metric-measure spaces via optimal transport

John Lott, Cédric Villani · Annals of Mathematics · 2009 · 1.3K citations · Full text

, , +16

A note on the Gromov-Hausdorff-Prokhorov distance between (locally) compact metric measure spaces

Romain Abraham, Jean‐François Delmas, Patrick Hoscheit · Electronic Journal of Probability · 2013 · 127 citations · Full text

, , +10

Hausdorff convergence and universal covers

Christina Sormani, Guofang Wei · Transactions of the American Mathematical Society · 2001 · 58 citations · Full text

, , +14

Length spectra and degeneration of flat metrics

Inventiones mathematicae · 2010 · 54 citations · Full text

, , +10

Length spectra and degeneration of flat metrics

2009 · 49 citations

, , +10

1–5 of 32

Authors

37

  1. CS
    Clemens Sämann

    University of Vienna, Austria

    3 publications · 48 citations

    3

    h-index

  2. TB
    Tobias Beran

    University of Vienna, Austria

    2 publications · 42 citations

    3

    h-index

  3. CS
    Christina Sormani

    Lehman College, United States

    3 publications · 104 citations

    3

    h-index

  4. MK
    Michael Kunzinger

    University of Vienna, Austria

    3 publications · 63 citations

    3

    h-index

  5. AB
    Annegret Burtscher

    Radboud University Nijmegen, Netherlands

    3 publications · 50 citations

    3

    h-index

1–5 of 37

Institutions

37

  1. University of Vienna

    Vienna, Austria

    7 h-index

    12 publications

    293 citations

  2. University of Michigan

    Ann Arbor, United States

    3 h-index

    3 publications

    1.4K citations

  3. University of Illinois Urbana-Champaign

    Urbana, United States

    3 h-index

    3 publications

    84 citations

  4. Radboud University Nijmegen

    Nijmegen, The Netherlands

    3 h-index

    5 publications

    69 citations

  5. Lehman College

    New York, United States

    3 h-index

    4 publications

    140 citations

  6. Centre National de la Recherche Scientifique

    Paris, France

    2 h-index

    2 publications

    1.3K citations

  7. Universität Hamburg

    Hamburg, Germany

    2 h-index

    2 publications

    31 citations

  8. École Normale Supérieure de Lyon

    Lyon, France

    2 h-index

    2 publications

    1.3K citations

1–8 of 37

Venues

  1. arXiv (Cornell University)

    Repository · 4 publications · 65 citations

    4

    h-index

  2. Analysis and Geometry in Metric Spaces

    2 publications · 55 citations

    2

    h-index

  3. Transactions of the American Mathematical Society

    TRAN · 2 publications · 69 citations

    2

    h-index

  4. Letters in Mathematical Physics

    1 publications · 24 citations

    2

    h-index

  5. Annales Henri Poincaré

    2 publications · 45 citations

    2

    h-index

1–5