Non-existence of n-dimensional T-embedded discs in ℝ2n

Gordana Stojanovic; Serge Tabachnikov

doi:10.4171/CMH/78

Non-existence of n-dimensional T-embedded discs in ℝ²ⁿ

Gordana Stojanovic, Serge Tabachnikov

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

We prove non-existence of C² -smooth embeddings of n-dimensional discs to ℝ² such that the tangent spaces at distinct points are pairwise disjoint.

Original language	English (US)
Pages (from-to)	877-882
Number of pages	6
Journal	Commentarii Mathematici Helvetici
Volume	81
Issue number	4
DOIs	https://doi.org/10.4171/CMH/78
State	Published - 2006

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.4171/CMH/78

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title = "Non-existence of n-dimensional T-embedded discs in ℝ2n",

abstract = "We prove non-existence of C2 -smooth embeddings of n-dimensional discs to ℝ2 such that the tangent spaces at distinct points are pairwise disjoint.",

author = "Gordana Stojanovic and Serge Tabachnikov",

year = "2006",

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AB - We prove non-existence of C2 -smooth embeddings of n-dimensional discs to ℝ2 such that the tangent spaces at distinct points are pairwise disjoint.

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Non-existence of n-dimensional T-embedded discs in ℝ²ⁿ

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