On fibrations with flat fibres

Valentin Ovsienko, Sergei Tabachnikov

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We describe the pairs (p, n) such that n-dimensional affine space is fibred by pairwise skew p-dimensional affine subspaces. The problem is closely related with the theorem of Adams on vector fields on spheres and the Hurwitz-Radon theory of composition of quadratic forms.

Original languageEnglish (US)
Pages (from-to)625-632
Number of pages8
JournalBulletin of the London Mathematical Society
Volume45
Issue number3
DOIs
StatePublished - Jan 1 2013

Fingerprint

Affine Space
Fibration
Quadratic form
Skew
n-dimensional
Pairwise
Vector Field
Subspace
Fiber
Theorem

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Ovsienko, Valentin ; Tabachnikov, Sergei. / On fibrations with flat fibres. In: Bulletin of the London Mathematical Society. 2013 ; Vol. 45, No. 3. pp. 625-632.
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On fibrations with flat fibres. / Ovsienko, Valentin; Tabachnikov, Sergei.

In: Bulletin of the London Mathematical Society, Vol. 45, No. 3, 01.01.2013, p. 625-632.

Research output: Contribution to journalArticle

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