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The Levi-Civita geodesic equivalence problem and multiplication of cofactor pair systems
Linköping University, Department of Mathematics, Applied Mathematics. Linköping University, The Institute of Technology.
2005 (English)Licentiate thesis, monograph (Other academic)
##### Abstract [en]

When studying equivalence of dynamical systems, in the sense of Levi-Civita, the concept of cofactor pair systems plays an important role. Co-factor pair systems can be constructed through a multiplicative structure of the so called quasi-Cauchy-Riemann equations (cof J)-1V = (cof $\widetilde{J}$)-1$\widetilde{V}$, where J and $\widetilde{J}$ are special conformal Killing tensors. In this thesis we study this multiplication and its role in the theory of equivalentdynamical systems. We have isolated the properties that are responsible for the multiplication, allowing us to give an elegant characterization of systems that admit multiplication. We describe how the multiplication of cofactor pair systems can be considered as a special case of a more general kind of multiplication. We also investigate algebraic properties of the multiplication and provide several methods for constructing new systems with multiplicative structure.

##### Place, publisher, year, edition, pages
Linköping: Linköpings universitet , 2005. , 56 p.
##### Series
Linköping Studies in Science and Technology. Thesis, ISSN 0280-7971 ; 1154
Mathematics
##### Identifiers
Local ID: 13594ISBN: 91-85297-81-XOAI: oai:DiVA.org:liu-28447DiVA: diva2:249256
##### Presentation
2005-05-27, Glashuset, Hus B, Linköping, Linköping, 10:15 (Swedish)
##### Opponent
Available from: 2009-10-09 Created: 2009-10-09 Last updated: 2013-11-21

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Jonasson, Jens
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Applied MathematicsThe Institute of Technology
Mathematics

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