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Dynamics and symmetry for constrained systems: a geometrical analysis

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La Rivista del Nuovo Cimento (1978-1999) Aims and scope

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Abbreviations

R:

field of real numbers

Q:

configuration space

TmQ, T *m Q:

tangent and cotangent spaces at m ε Q

TQ, T * Q:

tangent and cotangent bundles of Q

T(Q), X(Q),X * (Q):

algebras of functions, vector fields, 1-forms

TΦ:TQ →TN:TN (Φ [cq]):

[Φ o c]Φ(q), where [cq] is the equivalence class of curves tangent at qε Q and ΦQ → N is C∞

d:

exterior derivative

Lx,ix:

Lie and inner derivative with respect to X ∈ X(Q)

θℒ :

Cartan 1-form on TQ

ω ℒ:

d θ ℒ

ω0 :

canonical 2-form on T * Q

in → M:

identification map of the submanifold N into M<┐>

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Authors and Affiliations

  1. Sezione di Napoli, Istituto Nazionale di Fisica Nucleare, Italia

    G. Marmo

  2. Istituto di Fisica Teorica dell’ Università, Napoli, Italia

    G. Marmo

  3. Center for Theoretical Studies and Department of Physics, Indian Institute of Science, 560012, Bangalore, India

    N. Mukunda

  4. Raman Research Institute, 560080, Bangalore, India

    J. Samuel

Authors
  1. G. Marmo
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  2. N. Mukunda
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  3. J. Samuel
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Marmo, G., Mukunda, N. & Samuel, J. Dynamics and symmetry for constrained systems: a geometrical analysis. Riv. Nuovo Cim. 6, 1–62 (1983). https://doi.org/10.1007/BF02740487

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