Projective structures

with discrete holonomy representations

Authors:
Hiroshige Shiga and Harumi Tanigawa

Journal:
Trans. Amer. Math. Soc. **351** (1999), 813-823

MSC (1991):
Primary 32G15; Secondary 30F10

DOI:
https://doi.org/10.1090/S0002-9947-99-02043-7

MathSciNet review:
1443890

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Abstract | References | Similar Articles | Additional Information

Abstract: Let denote the set of projective structures on a compact Riemann surface whose holonomy representations are discrete. We will show that each component of the interior of is holomorphically equivalent to a complex submanifold of the product of Teichmüller spaces and the holonomy representation of every projective structure in the interior of is a quasifuchsian group.

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Additional Information

**Hiroshige Shiga**

Affiliation:
Department of Mathematics, Tokyo Institute of Technology, Tokyo 152 Japan

Email:
shiga@math.titech.ac.jp

**Harumi Tanigawa**

Affiliation:
Graduate School of Polymathematics, Nagoya University, Nagoya 464-01 Japan

Email:
harumi@math.nagoya-u.ac.jp

DOI:
https://doi.org/10.1090/S0002-9947-99-02043-7

Additional Notes:
Research at MSRI is supported by NSF grant #DMS–9022140

Article copyright:
© Copyright 1999
American Mathematical Society