Mathematics Faculty Articles

Title

Splitting the Tangent Bundle

Document Type

Article

Publication Date

4-1974

Publication Title

Transactions of the American Mathematical Society

Keywords

Mathematical manifolds, Tangents, Property lines, Polynomials, Mathematical theorems, Mathematical vectors

ISSN

0002-9947

Volume

191

First Page

53

Last Page

59

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.

DOI

10.2307/1996980

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