JournalscmhVol. 81, No. 4pp. 877–882

Non-existence of <em>n</em>-dimensional <em>T</em>-embedded discs in <em><strong>R</strong><sup>2n</sup></em>

  • Gordana Stojanovic

    Brown University, Providence, United States
  • Serge Tabachnikov

    Penn State University, University Park, United States
Non-existence of <em>n</em>-dimensional <em>T</em>-embedded discs in <em><strong>R</strong><sup>2n</sup></em> cover
Download PDF

Abstract

We prove non-existence of C2C^2-smooth embeddings of nn-dimensional discs to R2n\mathbb{R}^{2n} such that the tangent spaces at distinct points are pairwise disjoint.

Cite this article

Gordana Stojanovic, Serge Tabachnikov, Non-existence of <em>n</em>-dimensional <em>T</em>-embedded discs in <em><strong>R</strong><sup>2n</sup></em>. Comment. Math. Helv. 81 (2006), no. 4, pp. 877–882

DOI 10.4171/CMH/78