Diagrams, Tensors and Geometric Reasoning
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, diag...
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| Veröffentlicht in: | Discrete & computational geometry 2009-09, Vol.42 (2), p.305-334 |
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| creator | Richter-Gebert, Jürgen Lebmeir, Peter |
| description | 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. |
| doi_str_mv | 10.1007/s00454-009-9188-9 |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 0179-5376 |
| ispartof | Discrete & computational geometry, 2009-09, Vol.42 (2), p.305-334 |
| issn | 0179-5376 1432-0444 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_743585613 |
| source | SpringerLink Journals |
| subjects | Combinatorics Computational Mathematics and Numerical Analysis Geometry Mathematics Mathematics and Statistics Theorems |
| title | Diagrams, Tensors and Geometric Reasoning |
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