Diagrams, tensors and geometric reasoning

Jürgen Richter-Gebert; Peter Lebmeir

doi:10.1007/s00454-009-9188-9

Diagrams, tensors and geometric reasoning

Jürgen Richter-Gebert, Peter Lebmeir

Chair of Geometry and Visualization

Technical University of Munich

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

Geometry and in particular projective geometry (and its corresponding invariant theory) deals a lot with structural properties of geometric objects and their interrelations. This papers describes how concepts of tensor calculus can be used to express geometric invariants and how, in particular, diagrammatic notation can be used to deal with invariants in a highly intuitive way. In particular we explain how geometries like euclidean or spherical geometry can be dealt with in this framework.

Original language	English
Pages (from-to)	305-334
Number of pages	30
Journal	Discrete and Computational Geometry
Volume	42
Issue number	2
DOIs	https://doi.org/10.1007/s00454-009-9188-9
State	Published - Sep 2009

Keywords

Diagrams
Incidence theorems
Invariant theory
Projective geometry
Tensors

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10.1007/s00454-009-9188-9

Cite this

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KW - Tensors

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Diagrams, tensors and geometric reasoning

Abstract

Keywords

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