Photo from archive.org
We study the isometry groups of compact spherical orientable 3-orbifolds $$S^3/G$$S3/G, where G is a finite subgroup of $$\mathrm {SO}(4)$$SO(4), by determining their isomorphism type. Moreover, we prove that the… Click to show full abstract
We study the isometry groups of compact spherical orientable 3-orbifolds $$S^3/G$$S3/G, where G is a finite subgroup of $$\mathrm {SO}(4)$$SO(4), by determining their isomorphism type. Moreover, we prove that the inclusion of $$\text{ Isom }(S^3/G)$$Isom(S3/G) into $$\text{ Diff }(S^3/G)$$Diff(S3/G) induces an isomorphism of the $$\pi _0$$π0 groups, thus proving the $$\pi _0$$π0-part of the natural generalization of the Smale Conjecture to spherical 3-orbifolds.
Keywords:
spherical orbifolds;
isometry groups;
class groups;
mapping class;
groups mapping
Journal Title: Mathematische Zeitschrift
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Mathematische Zeitschrift
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!