Diagrams,Tensors and Geometric Reasoning |
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| Authors: | Jürgen Richter-Gebert Peter Lebmeir |
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| Institution: | (1) Department of Mathematics, Technical University of Munich, Boltzmannstr. 3, 85748 Garching, Germany |
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| 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.
Dedicated to the memory of Victor Klee, and in particular to his striving for conceptual simplicity |
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| Keywords: | Projective geometry Incidence theorems Invariant theory Tensors Diagrams |
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