Abstract
We show that for any differentiable involution on anr-dimensional manifold (M, T) whose fixed point setF is a disjoint union of real projective spaces of constant dimension 2n, we have: ifr=4n then (M,T) is bordant to (F×F, twist), if 2n<r⊋4n then (M,T) bounds.
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Duo, H., Torrence, B. Involutions fixing the disjoint union of copies of even projective space. Acta Mathematica Sinica 12, 162–166 (1996). https://doi.org/10.1007/BF02108158
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DOI: https://doi.org/10.1007/BF02108158