TY - JOUR
T1 - The interior of discrete projective structures in the Bers fiber
AU - Matsuzaki, Katsuhiko
PY - 2007/12/1
Y1 - 2007/12/1
N2 - The space of all projective structures on a closed surface is a holomorphic vector bundle over the Teichmüller space. In this paper, we restrict the space to the Bers fiber over any fixed underlying complex structure and prove that the interior of the set of discrete projective structures in the Bers fiber consists of those having quasifuchsian holonomy.
AB - The space of all projective structures on a closed surface is a holomorphic vector bundle over the Teichmüller space. In this paper, we restrict the space to the Bers fiber over any fixed underlying complex structure and prove that the interior of the set of discrete projective structures in the Bers fiber consists of those having quasifuchsian holonomy.
KW - Bers density conjecture
KW - Degenerate group
KW - Grafting
KW - Holonomy representation
KW - Kleinian group
KW - Projective structure
KW - Quasifuchsian group
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M3 - Article
AN - SCOPUS:42149159397
SN - 1239-629X
VL - 32
SP - 3
EP - 12
JO - Annales Academiae Scientiarum Fennicae Mathematica
JF - Annales Academiae Scientiarum Fennicae Mathematica
IS - 1
ER -