Article PDF
Avoid common mistakes on your manuscript.
References
D.B.A. Epstein, A. Marden. Convex Hulls in Hyperbolic Spaces. A Theorem of Sullivan and Measured Pleated surfaces. Lond. Math. Soc. Lect. Notes Ser.111, 113–254 (1987)
D.M. Gallo, W.M. Goldman, R.M. Porter. Projective structures with monodromy in PSL(2,R). Preprint
D.M. Gallo. Prescribed holonomy for projective structures on compact surfaces. Bull. AMS1, 31–34 (1989)
W.M. Goldman. Affine manifolds and projective geometry on surfaces, Senior Thesis, Princeton University (1977)
W.M. Goldman, Discontinuous groups and the Euler class. Doctoral dissertation, University of California, Berkeley (1980)
W.M. Goldman. Projective structures with Fuchsian holonomy. J. Differ Geom.25, 297–326 (1987)
W.M. Goldman. Geometric structures on manifolds and varieties of representations. Contemp. Math.74, 169–198 (1988)
W.M. Goldman. Topological components of spaces of representations. Invent. Math.93, 557–609 (1988)
D. Hejhal. Monodromy groups and linearly polymorphic functions. Acta Math.135, 1–55 (1975)
N.J. Hitchin. The self-duality equations on Riemann surfaces. Proc. Lond. Math. Soc.55, 59–126 (1987)
D. Johnson, J.J. Millson. Deformation spaces associated to compact hyperbolic manifolds. In: Discrete Groups in Geometry and analysis. Papers in Honor of G D. Mostow on His Sixtieth Birthday R. Howe (ed.), Prog. Math.67, Birkhauser, Boston-Basel-Stuttgart, 48–106 (1987)
M. Kapovich. Complex Projective structures with prescribed monodromy. Preprint (1992)
C. Kourouniotis. Deformations of hyperbolic structures on manifolds of several dimensions. Math. Proc. Camb. Phil. Soc.98, 247–261 (1985)
J.J. Millson. Deformations of Representations of finitely Generated Groups. Contemp. Math.74, 237–253 (1988)
S.P. Tan. Representations of surface groups into PSL(2,R) and geometric structures. Ph.D. dissertation, UCLA, (1988)
S.P. Tan. Singular pleated surfaces andCP 1-structures. Preprint (1992)
W.P. Thurston. The Geometry and Topology of three-manifolds. Princeton University Mathematics Department notes (1979)
W.P. Thurston. Shapes of Polyhedra. Research Report GCG 7, Geometry Supercomputer Project
M. Troyanov. Metrics of constant curvature on a sphere with two conical singularities. Differential Geometry, Peniscola 1988. Lect. Notes Math. Springer1410, 296–306 (1988)
M. Troyanov. Les Surfaces euclideannes a singularities coniques. Enseign. Math.32, 79–94 (1986)
J. Wood. Bundles with totally disconnected structure groups. Comment. Math. Helv.51, 257–273 (1971)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Tan, S.P. Branched ℂℙ1-structures on surfaces with prescribed real holonomy. Math. Ann. 300, 649–667 (1994). https://doi.org/10.1007/BF01450507
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01450507