Taut submanifolds

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This is a short, elementary survey article about taut submanifolds. In order to simplify the exposition, we restrict to the case of compact smooth submanifolds of Euclidean or spherical spaces. Some new, partial results concerning taut 4-manifolds are discussed at the end of the text.
10 pages, submitted to the proceedings of the EGEO2005, Cordoba, Argentina

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