References
Adams, J.F.: Vector fields on spheres. Annals of Math.75, 603–632 (1962)
Adem, J.: Construction of some normed maps. Bol. Soc. Mat. Mexicana20, 59–75 (1975)
Astey, L.: Geometric dimension of bundles over real projective spaces. Quart. J. Math. Oxford (2)31, 139–155 (1980)
Baum, P.F.: Quadratic maps and stable homotopy groups of spheres. Illinois J. of Math. (2)4, 586–595 (1967)
Bendersky, M., Davis, D.M.: UnstableBP-homology and desuspension. Amer. J. of Math. in press (1985)
Dai, Z.D., Lam, T.Y.: Levels in algebra and topology. Comment. Math. Helv.39, 376–424 (1984)
Davis, D.M.: A strong non-immersion theorem for real projective spaces. Ann. Math.120, 517–528 (1984)
Hefter, H.: Dehungsuntersuchungen an Sphärenabbildungen. Invent. Math.66, 1–10 (1982)
Hopf, H.: Ein topologischer Beitrag zur reellen Algebra. Comment. Math. Helv.13, 219–239 (1940/41)
Hurwitz, A.: Über die Komposition der quadratischen Formen von beliebig vielen Variablen, Nach. V. der Ges. der Wiss., Göttingen, Math. Phys. Kl. (1898), 309–316. Reprinted in Math. Werke II, 565–571
James, I.M.: On the immersion problem for real projective spaces. Bull. Amer. Math. Soc.69, 231–238 (1963)
Lam, K.Y.: Topological methods for studying the composition of quadratic forms. Canadian Math. Soc. Conf. Proc.4, 173–192 (1984)
Lam, K.Y.: Sectioning vector bundles over real projective spaces. Quart. J. Math. Oxford (2)23, 97–106 (1972)
Lam, K.Y.: Some interesting examples of nonsingular bilinear maps. Topology16, 185–188 (1977)
Pfister, A.: Multiplikative quadratische Formen. Arch. Math.16, 363–370 (1965)
Sard, A.: The measure of critical values of differentiable maps. Bull. Amer. Math. Soc.48, 883–890 (1942)
Shapiro, D.: Products of sums of squares. Exposit. Math.2, 235–261 (1984)
Stiefel, E.: Über Richtungsfelder in den projektiven Räumen und einen Satz aus der reellen Algebra. Comment. Math. Helv.13, 201–218 (1941)
Wood, R.: Polynomial maps from spheres to spheres. Invent. Math.5, 163–168 (1968)
Yuzvinsky, S.: A series of monomial pairings. Linear and multilinear Algebra15, 109–119 (1984)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Lam, K.Y. Some new results on composition of quadratic forms. Invent Math 79, 467–474 (1985). https://doi.org/10.1007/BF01388517
Issue Date:
DOI: https://doi.org/10.1007/BF01388517