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ArticleOriginal scientific text

Title

Various structures in 8-dimensional vector bundles over 8-manifolds

Authors 1, 2

Affiliations

  1. Department of Algebra and Geometry, Masaryk University, Jan, ' ačkovo n, ' am. 2a, 662 95 Brno, Czech Republic
  2. Academy of Sciences of the Czech Republic, Institute of Mathematics, Žižkova 22, 616 62 Brno, Czech Republic

Abstract

The paper is an overview of our results concerning the existence of various structures, especially complex and quaternionic, in 8-dimensional vector bundles over closed connected smooth 8-manifolds.

Keywords

ENG
obstructions, Cayley numbers, principle of triality, vector bundle, characteristic classes, classifying spaces, reduction of the structure group

Bibliography

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Banach Center Publications
1998/45/1
Export to PBN, Opens in new tab
Pages:
183-197
Main language of publication
English
Published
1998
Exact and natural sciences