Splitting 3-plane sub-bundles over the product of two real projective spaces

Splitting 3-plane sub-bundles over the product of two real projective spaces

Let α be a real vector bundle of fiber dimension three over the product RP(m)×RP(n) which splits as a Whitney sum of line bundles. We show that the necessary and sufficient conditions for α to embed as a sub-bundle of a certain family of vector bundles β of fiber dimension m+n is the vanishing of the la...

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Bibliographic Details
Main Authors: Maria Hermínia de Paula Leite Mello, Mário Olivero Marques da Silva
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2003-11-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Whitney sum of line bundles
vector bundle of fiber dimension three over the product RP(m)×RP(n).
Online Access:http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/7506/4324

Internet

http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/7506/4324

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