Two-plane sub-bundles of nonorientable real vector-bundles |
| |
Authors: | Maria Hermínia de Paula Leite Mello |
| |
Institution: | (1) Instituto de Matemática Departamento de Matemática Aplicada (GMA), Universidade Federal Fluminense, CEP 24.000, Niterói, RJ, Brazil |
| |
Abstract: | Let be a nonorientable m-plane bundle over a CW complex X of dimension m or less. Given a 2-plane bundle over X, we wish to know whether can be embedded as a sub-bundle of . The bundle need not be orientable. When is even-dimensional there is the added complication of twisted coefficients. In that case, we use Postnikov decomposition of certain nonsimple fibrations in order to describe the obstructions for the embedding problem. Emery Thomas 11] and 12] treated this problem for and both orientable. The results found here are applied to the tangent bundle of a closed, connected, nonorientable smooth manifold, as a special case.The writing of this paper was partially supported by CNPq grant |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|