Spherical_space_form_conjecture

Spherical space form conjecture

In mathematics, the spherical space form conjecture in geometric topology states that a finite group acting on the 3-sphere is conjugate to a group of isometries of the 3-sphere acting by left translation.

Currently the conjecture is known for groups whose actions have fixed points -- this special case is known as the Smith conjecture. It is also known for various groups acting without fixed points, such as cyclic groups whose orders are a power of two (Livesay, Myers) and cyclic groups of order 3 (Rubinstein). Thurston's Elliptization conjecture implies the spherical space form conjecture in all cases.

Search another word or see Spherical_space_form_conjectureon Dictionary | Thesaurus |Spanish
Copyright © 2014 Dictionary.com, LLC. All rights reserved.
  • Please Login or Sign Up to use the Recent Searches feature