Concepedia

Stability Of Geodesics

Stability of Geodesics is a structural property in Riemannian geometry that characterizes the resilience of geodesic paths to small perturbations in initial conditions or metric variations, distinguishing it from related dynamical and variational properties by focusing specifically on the bounded deviation of nearby geodesics over extended parameter intervals.

223

Publications

9K

Citations

392

Authors

229

Institutions

Publications per year

2017–2026

25

Parents

Publications

223

Recurrent geodesics on a surface of negative curvature

Harold Marston Morse · Transactions of the American Mathematical Society · 1921 · 399 citations · Full text

, , +11

Geodesic motion and confinement in Gödel's universe

M. Novello, I. Damião Soares, J. Tiomno · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · 1983 · 323 citations

, , +14

Periodic geodesics on compact riemannian manifolds

Detlef Gromoll, Wolfgang Meyer · Journal of Differential Geometry · 1969 · 218 citations · Full text

, , +11

Geodesics onS 2 and periodic points of annulus homeomorphisms

John Franks · Inventiones mathematicae · 1992 · 212 citations

, , +7

Geodesic theory of transport barriers in two-dimensional flows

George Haller, F. J. Beron‐Vera · Physica D Nonlinear Phenomena · 2012 · 208 citations

, , +10

1–5 of 223

Authors

392

  1. YL
    Yiming Long

    Nankai University, China

    5 publications · 169 citations

    5

    h-index

  2. KB
    Keith Burns

    Northwestern University, United States

    3 publications · 134 citations

    3

    h-index

  3. MP
    Marco Pettini

    Arcetri Astrophysical Observatory, Italy

    3 publications · 215 citations

    3

    h-index

  4. FM
    Francesco Mercuri

    Universidade Estadual de Campinas (UNICAMP), Brazil

    3 publications · 81 citations

    3

    h-index

  5. WZ
    Wolfgang Ziller

    University of Pennsylvania, United States

    2 publications · 82 citations

    3

    h-index

1–5 of 392

Institutions

229

  1. Centre National de la Recherche Scientifique

    Paris, France

    11 h-index

    18 publications

    868 citations

  2. University of Cambridge

    Cambridge, United Kingdom

    7 h-index

    13 publications

    583 citations

  3. Universidade Estadual de Campinas (UNICAMP)

    Campinas, Brazil

    6 h-index

    8 publications

    201 citations

  4. Northwestern University

    Evanston, United States

    6 h-index

    6 publications

    427 citations

  5. Nankai University

    Tianjin, China

    5 h-index

    7 publications

    216 citations

  6. University of Bonn

    Bonn, Germany

    5 h-index

    6 publications

    325 citations

  7. Universidad de Granada

    Granada, Spain

    3 h-index

    3 publications

    105 citations

  8. University of Utah

    Salt Lake City, United States

    3 h-index

    5 publications

    154 citations

1–8 of 229

Venues

  1. arXiv (Cornell University)

    Repository · 8 publications · 277 citations

    8

    h-index

  2. Geometriae Dedicata

    7 publications · 219 citations

    7

    h-index

  3. Ergodic Theory and Dynamical Systems

    7 publications · 307 citations

    7

    h-index

  4. General Relativity and Gravitation

    6 publications · 171 citations

    7

    h-index

  5. 6

    h-index

1–5