Concepedia

Geodesic Structure

Geodesic Structure is a mathematical construct in differential geometry that characterizes the intrinsic network of shortest paths (geodesics) on a curved manifold, distinguishing it from alternative geometric descriptions by encoding the affine connection and curvature properties that govern inertial motion in spacetime.

437

Publications

20.5K

Citations

791

Authors

453

Institutions

Publications per year

2017–2026

71

Parents

Publications

437

On Curves of Minimal Length with a Constraint on Average Curvature, and with Prescribed Initial and Terminal Positions and Tangents

Lester E. Dubins · American Journal of Mathematics · 1957 · 3K citations

, , +13

Geometric structure of the generic static traversable wormhole throat

David Hochberg, Matt Visser · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · 1997 · 361 citations · Full text

, , +12

Geodesic Active Regions: A New Framework to Deal with Frame Partition Problems in Computer Vision

Nikos Paragios, Rachid Deriche · Journal of Visual Communication and Image Representation · 2002 · 360 citations

, , +15

Tight geodesics in the curve complex

Brian H. Bowditch · Inventiones mathematicae · 2007 · 266 citations

, , +8

The geometry of Teichm�ller space via geodesic currents

Francis Bonahon · Inventiones mathematicae · 1988 · 262 citations

, , +13

1–5 of 437

Authors

791

  1. VS
    Vladimir S. Matveev

    Friedrich Schiller University Jena, Germany

    7 publications · 212 citations

    7

    h-index

  2. NP
    Norbert Polat

    Université Jean Moulin Lyon III, France

    5 publications · 82 citations

    5

    h-index

  3. VN
    V. N. Berestovskiĭ

    Sobolev Institute of Mathematics, Russia

    4 publications · 143 citations

    4

    h-index

  4. MS
    Miguel Sánchez

    Universidad de Granada, Spain

    4 publications · 147 citations

    4

    h-index

  5. HI
    Hiroyuki Isobe

    The University of Tokyo, Japan

    4 publications · 155 citations

    4

    h-index

1–5 of 791

Institutions

453

  1. University of Toronto

    Toronto, Canada

    9 h-index

    16 publications

    511 citations

  2. University of Warwick

    Coventry, United Kingdom

    9 h-index

    12 publications

    571 citations

  3. Stanford University

    Stanford, United States

    8 h-index

    13 publications

    1.1K citations

  4. Centre National de la Recherche Scientifique

    Paris, France

    7 h-index

    9 publications

    454 citations

  5. Friedrich Schiller University Jena

    Jena, Germany

    6 h-index

    6 publications

    188 citations

  6. California Institute of Technology

    Pasadena, United States

    5 h-index

    7 publications

    368 citations

  7. Sobolev Institute of Mathematics

    Novosibirsk, Russia

    5 h-index

    5 publications

    151 citations

  8. The University of Tokyo

    Tokyo, Japan

    5 h-index

    13 publications

    462 citations

1–8 of 453

Venues

  1. Journal of Differential Geometry

    19 publications · 1.2K citations

    16

    h-index

  2. Classical and Quantum Gravity

    12 publications · 675 citations

    12

    h-index

  3. Journal of Mathematical Physics

    14 publications · 404 citations

    12

    h-index

  4. arXiv (Cornell University)

    Repository · 10 publications · 173 citations

    10

    h-index

  5. ArXiv.org

    Repository · 10 publications · 277 citations

    10

    h-index

1–5