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Mathematical Publications

Volume 3 – Differential Geometry and Its Applications

Proceedings of the 8th International Conference on Differential Geometry and its Applications, August 27–31, 2001, Opava, Czech Republic.

Editors: O. Kowalski, J. Slovák and D. Krupka. Silesian University at Opava, Opava, Czech Republic, 2002. 492 p.
The electronic version of this book is available at the 8ICDGA homepage.

Volume 2 – Proceedings of the Seminar on Differential Geometry

Editor: D. Krupka. Silesian University at Opava, Opava, Czech Republic, 2000. 217 p.

The electronic version:

  • L. Klapka: Poisson manifolds of geodesic arcs in classical mechanics ... 1–13 PDF
  • M. Krbek, J. Musilová and J. Kašparová: The variational sequence: Local and global properties ... 15–37 PDF
  • D. Krupka and M. Krupka: Jets and contact elements ... 39–85 PDF
  • O. Krupková: Differential systems in higher-order mechanics ... 87–130 PDF
  • M. Marvan: Geometric aspects of S-integrability ... 131–144 PDF
  • J. Šeděnková: Differential invariants of the metric tensor ... 145–158 PDF
  • A. Sergeyev: On recursion operators and nonlocal symmetries of evolution equations ... 159–173 PDF
  • A. Vondra, From semisprays to connections, from geometry of regular O.D.E. in mechanics to geometry of horizontal Pfaffian P.D.E. on fibered manifolds (and vice versa) ... 175–204 PDF


Volume 1 – Differential Geometry and Its Applications

Proceedings of the 5th International Conference on Differential Geometry and its Applications, August 24–28, 1992, Opava, Czechoslovakia.

Editors: O. Kowalski and D. Krupka. Silesian University at Opava, Opava, Czech Republic, 1993. 540 p.
The electronic version of this book is available at The Electronic Library of Mathematics.

Topics

  1. Analysis and Topology on Manifolds
  2. Differential Equations on Manifolds
  3. Geodesic and Projective Mappings
  4. Geometric Methods in Physics
  5. Natural Bundles and Natural Differential Operators
  6. Riemannian and Kählerian Geometry
  7. The Calculus of Variations




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