-
require atoroidal 3-manifolds to
satisfy certain additional restrictions. For instance:
Boris Apanasov (2000)
gives a
definition of
atoroidality that combines...
-
geometrization theorem or
hyperbolization theorem implies that
closed atoroidal Haken manifolds are hyperbolic, and in
particular satisfy the Thurston...
-
component of the 3-manifold
obtained by
cutting along the tori is
either atoroidal or Seifert-fibered. The
acronym JSJ is for
William Jaco,
Peter Shalen...
-
component of the 3-manifold
obtained by
cutting along the tori is
either atoroidal or Seifert-fibered. The
acronym JSJ is for
William Jaco,
Peter Shalen...
- Irreducible, orientable,
compact 3-manifolds Cut
along embedded tori
Atoroidal or Seifert-fibered 3-manifolds
Union along their boundary,
using the trivial...
-
oriented 3-manifold
along tori into
pieces that are
Seifert manifolds or
atoroidal called the JSJ decomposition,
which is not
quite the same as the decomposition...
-
mathematician William Thurston,
states that
every closed, irreducible,
atoroidal 3-manifold with
infinite fundamental group has a
finite cover which is...
- also
known as a
toroidal vortex; a
toroidal flow in
fluid mechanics Atoroidal Torus (disambiguation) This
disambiguation page
lists articles ****ociated...
- it
implies that if X is a compact, connected, orientable, irreducible,
atoroidal 3-orbifold with non-empty
singular locus, then M has a
geometric structure...
-
greater than 6
results in a
hyperbolike 3-manifold, i.e. an irreducible,
atoroidal, non-Seifert-fibered 3-manifold with
infinite word
hyperbolic fundamental...
