We study the isometry groups of compact spherical orientable 3-orbifolds S^3/G, where G is a finite subgroup of SO(4), by determining their isomorphism type. Moreover, we prove that the inclusion of Isom (S^3/G) into Diff (S^3/G) induces an isomorphism of the π0 groups, thus proving the π0-part of the natural generalization of the Smale Conjecture to spherical 3-orbifolds.
Isometry groups and mapping class groups of spherical 3-orbifolds
Mecchia, Mattia;
2019-01-01
Abstract
We study the isometry groups of compact spherical orientable 3-orbifolds S^3/G, where G is a finite subgroup of SO(4), by determining their isomorphism type. Moreover, we prove that the inclusion of Isom (S^3/G) into Diff (S^3/G) induces an isomorphism of the π0 groups, thus proving the π0-part of the natural generalization of the Smale Conjecture to spherical 3-orbifolds.File in questo prodotto:
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Open Access dal 18/11/2019
Descrizione: “This is a post-peer-review, pre-copyedit version of an article published in Mathematische Zeitschrift. The final authenticated version is available online at: http://dx.doi.org/10.1007/s00209-018-2166-2”.
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Mecchia-Seppi2018_Article_IsometryGroupsAndMappingClassG.pdf
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