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  • Mots-clés: BANCHOFF
This is a (incomplete) report on geometrical results of the last twenty five years in the theory of total absolute curvature, in particular concerning its minimal value in certain classes of embeddings of manifolds.
The imbedding radius ?f and the roation number ? of an immersion of a Cech-circle into R2 are used to prove taht there is no tight immersion f of the Klein bottle into R3
Differential geometry is a field in which geometry is expressed in analysis, algebra, and calculations, and in which analysis and calculations are sometimes understood in intuitive steps that could be called geometric.

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