Keywords
- Conformal Transformation
- Closed Subgroup
- Discrete Subgroup
- Fuchsian Group
- Circle Action
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
R.D. Canary, D.B.A. Epstein and P. Green, Notes on notes of Thurston, London Math. Soc. Lecture Notes, 111(1987), 3–92.
W. Goldman, Conformally flat manifolds with nilpotent holonomy and the uniformization problem for 3-manifolds, Trans. Amer. Math. Soc., 278(1983), 573–583.
W. Goldman, Projective structures with Fuchsian holonomy, J. of Diff. Geom., 25(1987), 297–326.
W. Goldman and Y. Kamishima, Topological rigidity of developing maps with applications to conformally flat structures, Preprint (1987). to appear in Contemporary Math.
—, Conformal automorphisms and closed conformally flat manifolds, Preprint (1987).
N.A. Gusevskii and M.E. Kapovich, Conformal structures on three-dimensional manifolds, Soviet Math. Kokl. Vol.34(1987), No.2, 314–318.
W. Harvey, Discrete subgroups and automorphic functions, New York: Academic Press (1977).
Y. Kamishima, Conformally flat 3-manifolds with compact automorphism groups, Preprint, 1987. to appear in London Math. J.
Y. Kamishima, Conformally flat manifolds whose development maps are not surjective, Trans. Amer. Math. 294(1986), 607–623.
M. E. Kapovich, Some properties of Developments of conformal structures on three-dimensional manifolds, Soviet Math. Dokl., Vol.35(1987), No.1, 146–149.
J. L. Koszul, Lectures on groups of transformations, Notes by R. R. Simha and R. Sridharan, Tata Institute of Fundamental Research, Bombay, (1965).
R. Kulkarni, On the principle of uniformization, J. Diff. Geom., 13(1978), 109–138.
R. Kulkarni and U. Pinkall, Uniformization of geometric structures with applications to conformal geometry, Diff. Geo. Peniscola, Lecture Notes in Math., 1209(1986), 140–209.
R. Kulkarni, K. B. Lee and F. Raymond, Deformation spaces for Seifert Manifolds, Geometry and Topology, Proceedings, Univ. of Maryland 1984, Lecture Notes in Math., 1167(1986), 180–216.
W. L. Lok, Deformations of locally homogeneous spaces and Kleinian groups, Ph. D. thesis, Columbia Univ., 1984.
P. Orlik and F. Raymond, Actions of SO(2) on 3-manifolds, Proc. Conf. on Transformation groups, Springer-Verlag, New York, (1968), 297–318.
F. Raymond, Classification of the actions of the circle on 3-manifolds, Trans. Amer. Math., 131(1968), 51–78.
D. Johnson and J. Millson, Deformation spaces associated to compact hyperbolic manifolds, in Discrete groups in geometry and analysis, Progress in Math. 67(1987), 48–106. Birkhäuser, Boston-Basel.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Additional information
Dedicated to Professor Shozo Koshi for his sixtieth birthday
Rights and permissions
Copyright information
© 1989 Springer-Verlag
About this paper
Cite this paper
Kamishima, Y. (1989). Conformal circle actions on 3-manifolds. In: Kawakubo, K. (eds) Transformation Groups. Lecture Notes in Mathematics, vol 1375. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085605
Download citation
DOI: https://doi.org/10.1007/BFb0085605
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-51218-9
Online ISBN: 978-3-540-46178-4
eBook Packages: Springer Book Archive
