We shall show that for a given homeomorphism type and a set of end invariants (including the parabolic locus) with necessary topological conditions which a topologically tame Kleinian group with that homeomorphism type must satisfy, there is an al...
IN THE TRADITION OF AHLFORS-BERS, V 510 249-306 2010年 [査読有り]
The Riley slice is the space of marked geometrically finite Kleinian groups generated by two parabolic elements freely, which have domains of discontinuity homeomorphic to a four-times punctured sphere. We are interested in its extension: the spac...
Osaka Journal of Mathematics 46(4) 1097-1141 2009年12月 [査読有り]
In this paper, we generalise the first Klein-Maskit combination theorem to discrete groups of Möbius transformations in higher dimensions. The application of the main theorem is discussed in the last section.
Journal of the Mathematical Society of Japan 61(4) 1261-1291 2009年10月 [査読有り]
Consider a geometrically finite Kleinian group G without parabolic or elliptic elements, with its Kleinian manifold M = (H3 ∪ Ωg)/G. Suppose that for each boundary component of M, either a maximal and connected measured lamination in the Masur dom...
人文科学研究科
理学部