- In mathematics, an
atoroidal 3-manifold is one that does not
contain an
essential torus.
There are two
major variations in this terminology: an essential...
-
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...
- also
known as a
toroidal vortex; a
toroidal flow in
fluid mechanics Atoroidal Torus (disambiguation) This
disambiguation page
lists articles ****ociated...
-
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...
-
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...
- φp{\displaystyle \varphi ^{p}} is irreducible. It is
known that for any
atoroidal φ∈Out(Fn){\displaystyle \varphi \in \operatorname {Out} (F_{n})} (that...
- Irreducible, orientable,
compact 3-manifolds Cut
along embedded tori
Atoroidal or Seifert-fibered 3-manifolds
Union along their boundary,
using the trivial...
-
mathematician William Thurston,
states that
every closed, irreducible,
atoroidal 3-manifold with
infinite fundamental group has a
finite cover which is...
-
geometrization program for 3-manifolds.
Johannson (1979)
proved that
atoroidal, anannular, boundary-irreducible,
Haken three-manifolds have
finite mapping...
