Actions of Rp on closed manifolds
โ Scribed by J.L. Arraut; N.M. Dos Santos
- Publisher
- Elsevier Science
- Year
- 1988
- Tongue
- English
- Weight
- 828 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0166-8641
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A local reflection T: hl + 121, Af a closed and connected manifold, is an involution with a two-sided fixed point submanifold F (in particular, nonempty). We show that /&o(F) < g(kJ) + I, g(A4) the genus of hl (Cornea, 1989). We also show that /&(N -F) < 2. If @"(hi -F) = 2 we call T a reflection. I
We construct chaotic actions of certain finitely generated infinite abelian groups on evendimensional spheres, and of finite index subgroups of SL n (Z) on tori. We also study chaotic group actions via compactly supported homeomorphisms on open manifolds.