Involutions Fixing the Disjoint Union of Odd-Dimensional Projective Spaces

Author:

Hou Duo,Torrence Bruce

Abstract

AbstractWe show that any differentiable involution on a closed manifold whose fixed point set is a disjoint union of odd-dimensional real projective spaces must be a bounding involution.

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 9 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Involutions Fixing Two Copies of Projective Spaces Under Different Rings;Bulletin of the Brazilian Mathematical Society, New Series;2022-04-08

2. Two Commuting Involutions Fixing RP1(2m + 1) ∪ RP2(2m + 1);Chinese Annals of Mathematics, Series B;2021-09

3. $\mathbb{Z}_2^k$-actions fixing a disjoint union of odd dimensional projective spaces;Bulletin of the Belgian Mathematical Society - Simon Stevin;2017-12-01

4. (Z2)k-actions and the minimal data of the normal bundle;Topology and its Applications;2012-12

5. Involutions fixing CPi(1) × HPi(n);Acta Mathematica Scientia;2012-05

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