Geometric Mechanics

Geometric Mechanics is a theoretical framework within classical mechanics that formulates the dynamics of mechanical systems using geometric structures on differentiable manifolds, distinguished by its intrinsic use of symplectic, Poisson, and Lie group symmetries to analyze Lagrangian and Hamiltonian systems in a coordinate-invariant manner.

661

Publications

29.4K

Citations

974

Authors

504

Institutions

Publications per year

2017–2026

105

Parents

Analytical MechanicsHamiltonian SystemsLagrangian DynamicsLagrangian MechanicsMultibody DynamicsRigid Body Dynamics

Publications

661

Differential equations on riemannian manifolds and their geometric applications

Sheng Yao Cheng, Shing–Tung Yau · Communications on Pure and Applied Mathematics · 1975 · 1K citations

Natural Sciences, Mathematics, Differential Equations +15

Geometric Control of Mechanical Systems

IEEE Transactions on Automatic Control · 2005 · 680 citations

Engineering, Mechanical Engineering, Robotics Engineering +17

Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory

Boris Dubrovin, S. P. Novikov · Russian Mathematical Surveys · 1989 · 459 citations

Natural Sciences, Mathematics, Physics +17

Quantum Kinematic Approach to the Geometric Phase. I. General Formalism

N. Mukunda, Richard Simon · Annals of Physics · 1993 · 457 citations

Natural Sciences, Mathematics, Physics +16

Geometric Mechanics of Periodic Pleated Origami

Zhiwei Wei, Zhongze Guo, Levi H. Dudte et al. · Physical Review Letters · 2013 · 399 citations · Full text

Natural Sciences, Materials Engineering, Materials Science +13

1–5 of 661

Authors

974

JF
José F. Cariñena
Universidad de Zaragoza, Spain
22 publications · 576 citations
17
h-index
DM
David Martı́n de Diego
Instituto de Física Fundamental, Spain
15 publications · 667 citations
14
h-index
MD
Manuel de León
Consejo Superior de Investigaciones Científicas, Spain
15 publications · 699 citations
14
h-index
JE
Jerrold E. Marsden
California Institute of Technology, United States
15 publications · 730 citations
14
h-index
HC
Howie Choset
Carnegie Mellon University, United States
12 publications · 362 citations
11
h-index

1–5 of 974

Institutions

504

1–8 of 504

Venues

Journal of Mathematical Physics
40 publications · 1.7K citations
23
h-index
Journal of Physics A Mathematical and General
20 publications · 1.1K citations
16
h-index
Journal of Geometry and Physics
12 publications · 442 citations
11
h-index
International Journal of Geometric Methods in Modern Physics
13 publications · 465 citations
11
h-index
ArXiv.org
Repository · 12 publications · 453 citations
11
h-index

1–5