Splitting the tangent bundle
HTML articles powered by AMS MathViewer
- by Wolf Iberkleid PDF
- Trans. Amer. Math. Soc. 191 (1974), 53-59 Request permission
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.References
- P. E. Conner and E. E. Floyd, Differentiable periodic maps, Ergebnisse der Mathematik und ihrer Grenzgebiete, (N.F.), Band 33, Academic Press, Inc., Publishers, New York; Springer-Verlag, Berlin-Göttingen-Heidelberg, 1964. MR 0176478 J. W. Milnor, Lectures on characteristic classes, mimeographed, Princeton University, Princeton, N. J., 1957.
- J. Milnor, On the Stiefel-Whitney numbers of complex manifolds and of spin manifolds, Topology 3 (1965), 223–230. MR 180977, DOI 10.1016/0040-9383(65)90055-8
- R. E. Stong, On fibering of cobordism classes, Trans. Amer. Math. Soc. 178 (1973), 431–447. MR 315733, DOI 10.1090/S0002-9947-1973-0315733-3
- R. E. Stong, Subbundles of the tangent bundle, Trans. Amer. Math. Soc. 200 (1974), 185–197. MR 356102, DOI 10.1090/S0002-9947-1974-0356102-0
- René Thom, Quelques propriétés globales des variétés différentiables, Comment. Math. Helv. 28 (1954), 17–86 (French). MR 61823, DOI 10.1007/BF02566923
- C. T. C. Wall, Determination of the cobordism ring, Ann. of Math. (2) 72 (1960), 292–311. MR 120654, DOI 10.2307/1970136
Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 191 (1974), 53-59
- MSC: Primary 57D75
- DOI: https://doi.org/10.1090/S0002-9947-1974-0348774-1
- MathSciNet review: 0348774