Diffeomorphisms of a product of spheres and embedded spheres

Laércio Aparecido Lucas, Osamu Saeki

Research output: Contribution to journal › Article

2 Citations (Scopus)

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 languageEnglish
Pages (from-to)471-478
Number of pages8
JournalTopology and its Applications
Volume123
Issue number3
DOIs
Publication statusPublished - Sep 30 2002

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Diffeomorphisms
Diffeomorphism
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All Science Journal Classification (ASJC) codes

  • Geometry and Topology

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Diffeomorphisms of a product of spheres and embedded spheres. / Lucas, Laércio Aparecido; Saeki, Osamu.

In: Topology and its Applications, Vol. 123, No. 3, 30.09.2002, p. 471-478.

Research output: Contribution to journal › Article

Lucas, LA & Saeki, O 2002, 'Diffeomorphisms of a product of spheres and embedded spheres', Topology and its Applications, vol. 123, no. 3, pp. 471-478. https://doi.org/10.1016/S0166-8641(01)00213-9
Lucas LA, Saeki O. Diffeomorphisms of a product of spheres and embedded spheres. Topology and its Applications. 2002 Sep 30;123(3):471-478. https://doi.org/10.1016/S0166-8641(01)00213-9
Lucas, Laércio Aparecido ; Saeki, Osamu. / Diffeomorphisms of a product of spheres and embedded spheres. In: Topology and its Applications. 2002 ; Vol. 123, No. 3. pp. 471-478.
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