Taut submanifolds are algebraic
classification
🧮 math.DG
keywords
algebraicrealspacetautaffirmativelyambientanswerscompact
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We prove that every (compact) taut submanifold in Euclidean space is real algebraic, i.e., is a connected component of a real irreducible algebraic variety in the same ambient space. This answers affirmatively a question of Nicolaas Kuiper raised in the 1980s.
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