Non-existence of $n$-dimensional $T$-embedded discs in $\mathbb R^{2n}$

Gordana Stojanovic; Serge Tabachnikov

doi:10.4171/cmh/78

JournalscmhVol. 81, No. 4pp. 877–882

Non-existence of $n$ -dimensional $T$ -embedded discs in $R^{2 n}$

Gordana Stojanovic
Brown University, Providence, United States
Serge Tabachnikov
Penn State University, University Park, United States

$Non-existence of $n$-dimensional $T$-embedded discs in $\mathbb R^{2n}$ cover$

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Abstract

We prove non-existence of $C^{2}$ -smooth embeddings of $n$ -dimensional discs to $R^{2 n}$ such that the tangent spaces at distinct points are pairwise disjoint.

Cite this article

Gordana Stojanovic, Serge Tabachnikov, Non-existence of $n$ -dimensional $T$ -embedded discs in $R^{2 n}$ . Comment. Math. Helv. 81 (2006), no. 4, pp. 877–882

DOI 10.4171/CMH/78