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Stable closed equilibria for anisotropic surface energies: Surfaces with edges
Lagrangian dynamics of submanifolds. Relativistic mechanics
| 1. | Department of Theoretical Physics, Moscow State University, Moscow, Russian Federation |
References:
| [1] |
A. Echeverría Enríquez, M. Muñoz Lecanda and N. Román Roy, Geometrical setting of time-dependent regular systems. Alternative models, Reviews in Mathematical Physica, 3 (1991), 301-330.
doi: 10.1142/S0129055X91000114. |
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G. Giachetta, L. Mangiarotti and G. Sardanashvily, "New Lagrangian and Hamiltonian Methods in Field Theory," World Scientific Publishing Co., Inc., River Edge, NJ, 1997. |
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G. Giachetta, L. Mangiarotti and G. Sardanashvily, On the notion of gauge symmetries of generic Lagrangian field theory, Journal of Mathematical Physics, 50 (2009), 012903, 19 pp. |
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G. Giachetta, L. Mangiarotti and G. Sardanashvily, "Advanced Classical Field Theory," World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2009. |
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G. Giachetta, L. Mangiarotti and G. Sardanashvily, "Geometric Formulation of Classical and Quantum Mechanics," World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2010. |
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I. Krasil'shchik, V. Lychagin and A. Vinogradov, "Geometry of Jet Spaces and Nonlinear Partial Differential Equations," Gordon and Breach, Glasgow, 1985. |
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M. De León and P. Rodrigues, "Methods of Differential Geometry in Analytical Mechanics," North-Holland, Amsterdam, 1989. |
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L. Mangiarotti and G. Sardanashvily, "Gauge Mechanics," World Scientific Publishing Co., Inc., River Edge, NJ, 1998. |
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M. Modugno and A. Vinogradov, Some variations on the notion of connections, Annali di Matematica Pura ed Applicata, CLXVII (1994), 33-71.
doi: 10.1007/BF01760328. |
| [10] |
J. Polchinski, "String Theory," Cambridge University Press, Cambridge, 1998. |
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G. Sardanashvily, Hamiltonian time-dependent mechanics, Journal of Mathematical Physics, 39 (1998), 2714-2729.
doi: 10.1063/1.532416. |
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G. Sardanashvily, Relativistic mechanics in a general setting, International Journal of Geometric Methods in Modern Physics, 7 (2010), 1307-1319.
doi: 10.1142/S0219887810004804. |
show all references
References:
| [1] |
A. Echeverría Enríquez, M. Muñoz Lecanda and N. Román Roy, Geometrical setting of time-dependent regular systems. Alternative models, Reviews in Mathematical Physica, 3 (1991), 301-330.
doi: 10.1142/S0129055X91000114. |
| [2] |
G. Giachetta, L. Mangiarotti and G. Sardanashvily, "New Lagrangian and Hamiltonian Methods in Field Theory," World Scientific Publishing Co., Inc., River Edge, NJ, 1997. |
| [3] |
G. Giachetta, L. Mangiarotti and G. Sardanashvily, On the notion of gauge symmetries of generic Lagrangian field theory, Journal of Mathematical Physics, 50 (2009), 012903, 19 pp. |
| [4] |
G. Giachetta, L. Mangiarotti and G. Sardanashvily, "Advanced Classical Field Theory," World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2009. |
| [5] |
G. Giachetta, L. Mangiarotti and G. Sardanashvily, "Geometric Formulation of Classical and Quantum Mechanics," World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2010. |
| [6] |
I. Krasil'shchik, V. Lychagin and A. Vinogradov, "Geometry of Jet Spaces and Nonlinear Partial Differential Equations," Gordon and Breach, Glasgow, 1985. |
| [7] |
M. De León and P. Rodrigues, "Methods of Differential Geometry in Analytical Mechanics," North-Holland, Amsterdam, 1989. |
| [8] |
L. Mangiarotti and G. Sardanashvily, "Gauge Mechanics," World Scientific Publishing Co., Inc., River Edge, NJ, 1998. |
| [9] |
M. Modugno and A. Vinogradov, Some variations on the notion of connections, Annali di Matematica Pura ed Applicata, CLXVII (1994), 33-71.
doi: 10.1007/BF01760328. |
| [10] |
J. Polchinski, "String Theory," Cambridge University Press, Cambridge, 1998. |
| [11] |
G. Sardanashvily, Hamiltonian time-dependent mechanics, Journal of Mathematical Physics, 39 (1998), 2714-2729.
doi: 10.1063/1.532416. |
| [12] |
G. Sardanashvily, Relativistic mechanics in a general setting, International Journal of Geometric Methods in Modern Physics, 7 (2010), 1307-1319.
doi: 10.1142/S0219887810004804. |
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