(Kleinian groups, Teichmuller spaces, Hyperbolic geometry)
Introduction of Research
Bibliography
Book
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Hyperbolic manifolds and Kleinian groups,
Oxford University Press,1998
(with Masahiko Taniguchi).
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Chapter 8: The Hausdorff dimension of the limit sets
Chapter 9: Holonomy representation of projective structure (in preparation)
Recent works
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Paradoxes beyond local connectivity I, II, III... to be continued until VII.
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I: Simply connected domains on a hyperbolic surface
II: Decomposability of the limit sets of Kleinian groups
III: Exotic projective structures and prime ends of the region of discontinuity on a Riemann surface (Kansai Seminar on Complex Analysis, April 21, 2001) -
Conservative action of Kleinian groups with respect to the Patterson-Sullivan
measure
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Locally connected, tree-like invariant continua under Kleinian groups
- The Burnside problem and Tarski monsters in a Teichmuller modular group (in preparation)
Other articles
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Department of Mathematics, Ochanomizu University
Otsuka 2-1-1, Bunkyo-ku, Tokyo 112-8610
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FAX: +81-3-5978-5295
Email: matsuzak(at)math.ocha.ac.jp
Updated on April 30, 2001