LRI Publications
Preprint Series in Global Variational Geometry

2013

  • J. Volna, Z. Urban, The interior Euler-Lagrange operator in field theory, Lepage Inst. Preprint Ser. 1 (2013) 14pp.  (to appear in Math. Slovaca 65/2015)
  • Z. Urban, The variational classes in second-order variational sequence: Explicit formulas, Lepage Inst. Preprint Ser. 2 (2013).

2011

  • Z. Urban, D. Krupka, The Helmholtz conditions for systems of second order homogeneous differential equations, Lepage Inst. Preprint Ser. 1 (2011) 14pp. 


The preprint series in Global Analysis and Applications published at Department of Algebra and Geometry, Palacky University, Olomouc, contains the following titles:

2008
  • J. Brajerčík, Second order differential invariants of linear frames, Preprint Series Glob. Anal. Appl., 2 (2008), 1-12.
  • J. Brajerčík, Differential invariants of frames: second order Lagrangians, Preprint Series Glob. Anal. Appl., 3 (2008), 1-14.
2007
  • A. Paták, D. Krupka, Geometric Structure of the Hilbert-Yang-Mills Functional, Preprint Series Glob. Anal. Appl., 2 (2007), 1-23.
  • J. Brajerčík, Invariant variational principles on frame bundles, Preprint Series Glob. Anal. Appl., 3 (2007), 1-8.
  • M. Swaczyna, Constraint Lepage one forms in higher order mechanics with nonholonomic constraints on the dynamical space, Preprint Series Glob. Anal. Appl., 5 (2007), 1-14.
2006
  • J. Szenthe, Semi-Riemannian Geometry and Topics in Lorentz Geometry, Preprint Series Glob. Anal. Appl., 2 (2006), 1-35.
  • J. Brajerčík, Order Reduction of the Euler-Lagrange Equations on Principal Bundles, Preprint Series Glob. Anal. Appl., 3 (2006), 1-11.
  • J. Brajerčík, D. Krupka, Cohomology and Local Variational Principles, Preprint Series Glob. Anal. Appl., 6 (2006), 1-5.
  • R. Paláček, Modeling of Variational Dynamical Systems: The Inverse Problem of the Calculus of Variations, Preprint Series Glob. Anal. Appl., 8 (2006), 1-8.
2005
  • J. Brajerčík, Higher order invariant variational principles on frame bundles, Preprint Series Glob. Anal. Appl., 1 (2005), 1-51.
  • D. J. Saunders, Homogeneous Variational Systems and Variational Sequences, Preprint Series Glob. Anal. Appl., 2 (2005), 1-24.
  • J. Brajerčík, D. Krupka, Noether currents and order reduction on frame bundles, Preprint Series Glob. Anal. Appl., 3 (2005), 1-4.
  • O. Krupková, D. J. Saunders, Affine duality, and Lagrangian and Hamiltonian systems, Preprint Series Glob. Anal. Appl., 4 (2005), 1-11.
  • D. Krupka, O. Krupková, G. Prince, W. Sarlet, Contact symmetries of the Helmholtz form, Preprint Series Glob. Anal. Appl., 5 (2005), 1-29.
  • J. Volná, Interior Euler-Lagrange operator, Preprint Series Glob. Anal. Appl., 6 (2005), 1-9.
2004
  • D. Krupka, Trace decompositions of tensor spaces, Preprint Series Glob. Anal. Appl., 3 (2004), 1-26.
  • J. Brajerčík, D. Krupka, Variational principles on the frame bundles, Preprint Series Glob. Anal. Appl., 5 (2004), 1-14.
  • D. Krupka, J. Šeděnková, Variational sequences and Lepage forms, Preprint Series Glob. Anal. Appl., 7 (2004), 1-11.
  • J. Brajerčík, D. Krupka, Variational principles for locally variational forms, Preprint Series Glob. Anal. Appl., 8 (2004), 1-17.
  • O. Krupková, P. Volný, Euler-Lagrange and Hamilton equations for non-holonomic systems in field theory, Preprint Series Glob. Anal. Appl., 9 (2004), 1-24.
  • M. Swaczyna, M. Tichá, Examples of nonholonomic mechanical systems, Preprint Series Glob. Anal. Appl., 10 (2004), 1-24.

The preprint series in Global Analysis and Applications published at Mathematical Institute,Silesian University, Opava, contains the following titles:
  • D. Krupka, Smooth Manifolds, Preprint Series in Global Analysis, GA 14/2000, Silesian University in Opava.
  • D. Krupka, Jets and contact elements, Preprint Series in Global Analysis, Silesian University in Opava.
  • D. Krupka, The Geometry of Lagrange Structures I, Preprint Series in Global Analysis, Silesian University in Opava.
  • D. Krupka, The Geometry of Lagrange Structures II, Preprint Series in Global Analysis, GA 2/1998, Silesian University in Opava.

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