Abstract
Let M be the product of n copies of the p-dimensional sphere Sp with p≥1 and n≥2. In this paper we completely determine those automorphisms of Hp(M;ℤ)≅ℤn which can be realized by a diffeomorphism of M. As an application, we completely classify smoothly embedded p-dimensional spheres in M up to diffeomorphisms of M.
| Original language | English |
|---|---|
| Pages (from-to) | 471-478 |
| Number of pages | 8 |
| Journal | Topology and its Applications |
| Volume | 123 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Sep 30 2002 |
| Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Geometry and Topology
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Lucas, L. A., & Saeki, O. (2002). Diffeomorphisms of a product of spheres and embedded spheres. Topology and its Applications, 123(3), 471-478. https://doi.org/10.1016/S0166-8641(01)00213-9