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Variations, geometry and physics. In honour of Demeter Krupka’s sixty-fifth birthday. Including papers from the colloquium held in Olomouc, Czech Republic, August 25–26, 2007. (English) Zbl 1209.58002
New York, NY: Nova Science Publishers (ISBN 978-1-60456-920-9). viii, 370 p. (2009).

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The articles of this volume will be announced individually.
Contents: Jana Musilová and Michal Lenc, Lepage forms in variational theories: from Lepage’s idea to the variational sequence (3–26); Olga Krupková, Lepage forms in the calculus of variations (27–55); D. R. Grigore, On a generalization of the Poincaré-Cartan form in higher-order field theory (57–76); D. J. Saunders, Krupka’s fundamental Lepage equivalent and the excess function of Wilkins (77–84); Antonio Fernández and Pedro L. García, Lepage congruences in discrete mechanics (85–97); Raffaele Vitolo, Finite order variational sequences: a short review (99–115); Marco Castrillón López, Mark J. Gotay and Jerrold E. Marsden, Concatenating variational principles and the kinetic stress-energy-momentum tensor (117–128); Manuel de León, Juan Carlos Marrero and David Martín de Diego, A geometric Hamilton-Jacobi theory for classical field theories (129–140); Josef Janyška, Natural Lagrangian structures (143–166); Ivan Kolář, Connections on higher order frame bundles and their gauge analogies (167–188); Oldřich Kowalski and Masami Sekizawa, Natural lifts in Riemannian geometry (189–207); Peter J. Olver, Invariant variational problems and invariant flows via moving frames (209–235); Boris Kruglikov and Valentin Lychagin, Differential invariants of the motion group actions (237–251); Andrzej Trautman, Remarks on the history of the notion of Lie differentiation (255–259); M. Crampin and T. Mestdag, Second-order differential equation fields with symmetry (261–275); José F. Cariñena, Manuel F. Rañada and Mariano Santander, Dimensional reduction of curvature-dependent central potentials on spaces of constant curvature (277–291); L. Tamássy, Direct geometrical method in Finsler geometry (293–314); W. Sarlet, Linear connections along the tangent bundle projection (315–340); G. E. Prince, On the inverse problem for autoparallels (341–351).
Indexed articles:
Musilová, Jana; Lenc, Michal, Lepage forms in variational theories: from Lepage’s idea to the variational sequence, 3-26 [Zbl 1208.58001]
Krupková, Olga, Lepage forms in the calculus of variations, 27-55 [Zbl 1208.58019]
Grigore, D. R., On a generalization of the Poincaré-Cartan form in higher-order field theory, 57-76 [Zbl 1208.58018]
Saunders, D. J., Krupka’s fundamental Lepage equivalent and the excess function of Wilkins, 77-84 [Zbl 1208.58022]
Fernández, Antonio; García, Pedro L., Lepage congruences in discrete mechanics, 85-97 [Zbl 1208.70026]
Vitolo, Raffaele, Finite order variational sequences: a short review, 99-115 [Zbl 1208.58024]
Castrillón López, Marco; Gotay, Mark J.; Marsden, Jerrold E., Concatenating variational principles and the kinetic stress-energy-momentum tensor, 117-128 [Zbl 1208.58020]
de León, Manuel; Marrero, Juan Carlos; Martín de Diego, David, A geometric Hamilton-Jacobi theory for classical field theories, 129-140 [Zbl 1208.70028]
Janyška, Josef, Natural Lagrangian structures, 143-166 [Zbl 1208.58006]
Kolář, Ivan, Connections on higher order frame bundles and their gauge analogies, 167-188 [Zbl 1208.58003]
Kowalski, Oldřich; Sekizawa, Masami, Natural lifts in Riemannian geometry, 189-207 [Zbl 1208.53048]
Olver, Peter J., Invariant variational problems and invariant flows via moving frames, 209-235 [Zbl 1208.58021]
Kruglikov, Boris; Lychagin, Valentin, Differential invariants of the motion group actions, 237-251 [Zbl 1208.58023]
Trautman, Andrzej, Remarks on the history of the notion of Lie differentiation, 255-259 [Zbl 1208.53019]
Crampin, M.; Mestdag, T., Second-order differential equation fields with symmetry, 261-275 [Zbl 1208.37033]
Cariñena, José F.; Rañada, Manuel F.; Santander, Mariano, Dimensional reduction of curvature-dependent central potentials on spaces of constant curvature, 277-291 [Zbl 1208.37035]
Tamássy, L., Direct geometrical method in Finsler geometry, 293-314 [Zbl 1208.53079]
Sarlet, W., Linear connections along the tangent bundle projection, 315-340 [Zbl 1208.53018]
Prince, G. E., On the inverse problem for autoparallels, 341-351 [Zbl 1208.53078]

MSC:
58-06 Proceedings, conferences, collections, etc. pertaining to global analysis
53-06 Proceedings, conferences, collections, etc. pertaining to differential geometry
83-06 Proceedings, conferences, collections, etc. pertaining to relativity and gravitational theory
00B15 Collections of articles of miscellaneous specific interest
Biographic References:
Krupka, Demeter
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