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Classification of second order symmetric tensors in the Lorentz metric
Linköping University, Department of Mathematics.
2010 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

This bachelor thesis shows a way to classify second order symmetric tensors in the Lorentz metric. Some basic prerequisite about indefinite and definite algebra is introduced, such as the Jordan form, indefinite inner products, the Segre type, and the Minkowski space. There are also some results concerning the invariant 2-spaces of a symmetric tensor and a different approach on how to classify second order symmetric tensor.

Place, publisher, year, edition, pages
2010. , 37 p.
Keyword [en]
Indefinite linear algebra, Lorentz metric, Minkowski space, symmetric tensors, Segre type, classification of canonical form
National Category
URN: urn:nbn:se:liu:diva-57197ISRN: LiTH-MAT-EX--2010/21--SEOAI: diva2:323702
kompakta rummet, Linköping (Swedish)
Physics, Chemistry, Mathematics
Available from: 2010-10-27 Created: 2010-06-11 Last updated: 2010-10-27Bibliographically approved

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Hjelm Andersson, Hampus
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Department of Mathematics

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