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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Splitting the tangent bundle


Author: Wolf Iberkleid
Journal: Trans. Amer. Math. Soc. 191 (1974), 53-59
MSC: Primary 57D75
MathSciNet review: 0348774
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Abstract: We determine those unoriented cobordism classes which can be realized by a manifold whose tangent bundle splits into a sum of real (complex) line bundles.


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DOI: https://doi.org/10.1090/S0002-9947-1974-0348774-1
Keywords: Projective bundle, cobordism, Stiefel-Whitney classes and numbers
Article copyright: © Copyright 1974 American Mathematical Society