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2 results

  • Metrics of Positive Scalar Curvature on Spherical Space Forms

  • Boris Botvinnik, Peter B. Gilkey
  • Journal:
    Canadian Journal of Mathematics / Volume 48 / Issue 1 / 01 February 1996
    Published online by Cambridge University Press:
    20 November 2018, pp. 64-80
    Print publication:
    01 February 1996
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  • We use the eta invariant to show every non-simply connected spherical space form of dimension m ≥ 5 has a countable family of non bordant metrics of positive scalar curvature.

  • The Eta Invariant and Non-Singular Bilinear Products on Rn

  • Peter B. Gilkey
  • Journal:
    Canadian Mathematical Bulletin / Volume 30 / Issue 2 / 01 June 1987
    Published online by Cambridge University Press:
    20 November 2018, pp. 147-154
    Print publication:
    01 June 1987
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  • Milnor showed that non-singular bilinear products on Rn exist only if n = 1, 2, 4, 8 using topological methods. In this note, we give a proof of this result by purely analytical methods.