J4

Previous Articles     Next Articles

Involutions Fixing the Disjoint Union of Copies of HP(2n)

LIU Xiu-gui   

  1. Department of Mathematics, Nankai University, Tianjin 300071, China
  • Received:2001-07-12 Revised:1900-01-01 Online:2002-04-26 Published:2002-04-26
  • Contact: LIU Xiu-gui

Abstract: For any nontrivial differentiable involution on an r-dimensional manifold (M,T) whose fixed point set F is a disjoint union of quaternionic projective spaces of constant dimension 8n(n≥1), it is concluded that if r=16n then (M,T) is bordant to (F×F,twist), if 8n

Key words: involution, bordism, fixed point set

CLC Number: 

  • O189.3