The geometry of the plate-ball problem

V. Jurdjevic

doi:10.1007/bf00375605

journal article Jan 01, 1993

The geometry of the plate-ball problem

V. Jurdjevic

Archive for Rational Mechanics and Analysis Vol. 124 No. 4 pp. 305-328 · Springer Science and Business Media LLC

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References

10

[1]

V. Arnold, Méthodes mathématiques de la mécanique classique, Editions Mir, 1976.

[2]

R. Brockett & L. Dai, Non-holonomic kinematics and the role of elliptic functions in constructive controllability, preprint.

[3]

R. Bryant & P. Griffiths, Reductions for constrained variational problems and 1/2 ? k 2 ds, Amer. J. Math. 108 (1986), 525?570. 10.2307/2374654

[4]

V. Jurdjevic, Non Euclidean elastica, to appear in the Amer. J. Math.

[5]

J. Langer & D. Singer, The total squared curvature of closed curves, J. Diff. Geom. 20 (1984), 1?22. 10.4310/jdg/1214438990

[6]

A. E. H. Love, A treatise on the mathematical theory of elasticity (4th ed.), Cambridge University Press, 1927.

[7]

R. Montgomery, Geodesics which do not satisfy the geodesic equation, prepint.

[8]

D. Mumford, Elastica and computer vision, preprint.

[9]

J. I. Neimark & N. A. Fufaev, Dynamics of nonholonomic system, Translations of Mathematical Monographs, Amer. Math. Soc. Vol. 33, 1972.

[10]

C. Truesdell, The influence of elasticity on analysis: the classical heritage, Bull. Amer. Math. Soc. 9, (1983), 293?310. 10.1090/s0273-0979-1983-15187-x

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127

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10

References

Details

Published: Jan 01, 1993
Vol/Issue: 124(4)
Pages: 305-328
License: View

Authors

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V. Jurdjevic

Cite This Article

V. Jurdjevic (1993). The geometry of the plate-ball problem. Archive for Rational Mechanics and Analysis, 124(4), 305-328. https://doi.org/10.1007/bf00375605

The geometry of the plate-ball problem

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