Concepedia

Geometric Jacobian

A Geometric Jacobian is a Jacobian matrix that maps joint velocity vectors to the linear and angular velocity vectors of a rigid body in three-dimensional space, distinguished by its explicit representation of end-effector twist in the spatial frame using geometric derivatives of joint screw motions.

56

Publications

2.2K

Citations

118

Authors

67

Institutions

Publications per year

2017–2026

5

Variants

Spatial Jacobian

Parents

Publications

56

The Tricept robot: Inverse kinematics, manipulability analysis and closed-loop direct kinematics algorithm

Bruno Siciliano · Robotica · 1999 · 261 citations

, , +17

Implementing 2-descent for Jacobians of hyperelliptic curves

Michael Stoll · Acta Arithmetica · 2001 · 147 citations · Full text

, , +7

T-branes and geometry

Journal of High Energy Physics · 2014 · 100 citations · Full text

, , +11

2-Descent on the Jacobians of Hyperelliptic Curves

Edward F. Schaefer · Journal of Number Theory · 1995 · 92 citations

, , +9

Jacobians of Genus One Curves

Sang Yook An, Seog Young Kim, David C. Marshall et al. · Journal of Number Theory · 2001 · 87 citations

, , +9

1–5 of 56

Authors

118

  1. BS
    Bruno Siciliano

    University of Naples Federico II, Italy

    3 publications · 323 citations

    3

    h-index

  2. JA
    Jorge Angeles

    McGill University, Canada

    3 publications · 105 citations

    3

    h-index

  3. EC
    E. Curotto

    Arcadia University, United States

    1 publications · 17 citations

    1

    h-index

  4. NB
    Nils Bruin

    Simon Fraser University, Canada

    1 publications · 32 citations

    1

    h-index

  5. AR
    Antonio Rapagnetta

    University of Rome Tor Vergata, Italy

    1 publications · 30 citations

    1

    h-index

1–5 of 118

Institutions

67

  1. McGill University

    Montreal, Canada

    4 h-index

    9 publications

    267 citations

  2. University of Naples Federico II

    Naples, Italy

    3 h-index

    8 publications

    480 citations

  3. Roma Tre University

    Rome, Italy

    2 h-index

    2 publications

    61 citations

  4. Massachusetts Institute of Technology

    Cambridge, United States

    2 h-index

    2 publications

    57 citations

  5. Harvard University

    Cambridge, United States

    1 h-index

    2 publications

    200 citations

  6. Laboratoire d’Analyse et de Mathématiques Appliquées

    Champs-sur-Marne, France

    1 h-index

    1 publications

    33 citations

  7. Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional

    Mexico City, Mexico

    1 h-index

    2 publications

    74 citations

  8. Norwegian University of Science and Technology

    Trondheim, Norway

    1 h-index

    2 publications

    32 citations

1–8 of 67

Venues

  1. American Journal of Mathematics

    3 publications · 98 citations

    3

    h-index

  2. Journal of Mechanisms and Robotics

    2 publications · 72 citations

    2

    h-index

  3. Journal of Number Theory

    2 publications · 179 citations

    2

    h-index

  4. Mathematical Research Letters

    MRL · 2 publications · 26 citations

    2

    h-index

  5. French digital mathematics library (Numdam)

    Repository · 2 publications · 91 citations

    2

    h-index

1–5