Non-Smooth Geodesic Flows and Classical Mechanics
Canadian mathematical bulletin, Tome 12 (1969) no. 2, pp. 209-212
Voir la notice de l'article provenant de la source Cambridge University Press
As is well known, there is an intimate connection between geodesic flows and Hamiltonian systems. In fact, if g is a Riemannian, or pseudo-Riemannian metric on a manifold M (we think of M as q-space or the configuration space), we may define a smooth function Tg on the cotangent bundle T*M (q-p-space, or the phase space). This function is the kinetic energy of q, and locally is given by
Marsden, J. E. Non-Smooth Geodesic Flows and Classical Mechanics. Canadian mathematical bulletin, Tome 12 (1969) no. 2, pp. 209-212. doi: 10.4153/CMB-1969-023-0
@article{10_4153_CMB_1969_023_0,
author = {Marsden, J. E.},
title = {Non-Smooth {Geodesic} {Flows} and {Classical} {Mechanics}},
journal = {Canadian mathematical bulletin},
pages = {209--212},
year = {1969},
volume = {12},
number = {2},
doi = {10.4153/CMB-1969-023-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-023-0/}
}
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