Teichmüller spaces of seifert fibered manifolds with infinite π1

Ohshika, Ken’ichi

doi:10.1016/0166-8641(87)90058-7

Cited by 14 publications

(22 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We can introduce unknowns 2, 3, as above. The only change of the equations occur at the equations (27) and (28) which change to (32) β 2 = 1,…”

Section: 7mentioning

confidence: 99%

The deformation spaces of convex [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /]-structures on 2-orbifolds

Choi¹,

Goldman²

2005

ajm

View full text Add to dashboard Cite

Abstract. We determine that the deformation space of convex real projective structures, that is, projectively flat torsion-free connections with the geodesic convexity property on a compact 2-orbifold of negative Euler characteristic is homeomorphic to a cell of certain dimension. The basic techniques are from Thurston's lecture notes on hyperbolic 2-orbifolds, the previous work of Goldman on convex real projective structures on surfaces, and some classical geometry.

show abstract

“…We can introduce unknowns 2, 3, as above. The only change of the equations occur at the equations (27) and (28) which change to (32) β 2 = 1,…”

Section: 7mentioning

confidence: 99%

The deformation spaces of convex [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /]-structures on 2-orbifolds

Choi¹,

Goldman²

2005

ajm

View full text Add to dashboard Cite

show abstract

“…(23)), leaving the third components zero by a conjugation by Nil like the way we obtained Eq. (18). So, we arrive at…”

Section: The B/1 Model: a Compact Model On Bianchi II Geometrymentioning

confidence: 96%

Dynamics of compact homogeneous universes

Tanimoto

Koike

Hosoya

1997

Journal of Mathematical Physics

View full text Add to dashboard Cite

A complete description of dynamics of compact locally homogeneous universes is given, which, in particular, includes explicit calculations of Teichmüller deformations and careful counting of dynamical degrees of freedom. We regard each of the universes as a simply connected four dimensional spacetime with identifications by the action of a discrete subgroup of the isometry group. We then reduce the identifications defined by the spacetime isometries to ones in a homogeneous section, and find a condition that such spatial identifications must satisfy. This is essential for explicit construction of compact homogenoeus universes. Some examples are demonstrated for Bianchi II, VI 0 , VII 0 , and I universal covers.

show abstract

“…For orbifolds of finite type, the geometric cutand-paste method is probably easier. In particular, this is the method used in [101] where a complete proof of Proposition 2.6 for finite type 2-orbifolds is given.…”

Section: Theorem 24 (Oriented Classification Of Seifert Fibrations)mentioning

confidence: 99%

Geometric Structures on 3-Manifolds

Bonahon

2001

Handbook of Geometric Topology

View full text Add to dashboard Cite

Teichmüller spaces of seifert fibered manifolds with infinite π1

Cited by 14 publications

References 8 publications

The deformation spaces of convex [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /]-structures on 2-orbifolds

The deformation spaces of convex [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /]-structures on 2-orbifolds

Dynamics of compact homogeneous universes

Geometric Structures on 3-Manifolds

Contact Info

Product

Resources

About