Shimizu’s lemma for quaternionic hyperbolic space
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چکیده
We prove a version of Shimizu’s lemma for quaternionic hyperbolic space. Namely, consider groups of quaternionic hyperbolic isometries containing a parabolic map fixing infinity. We show that any element of such a group not fixing infinity has an isometric sphere whose radius is bounded by a function of the parabolic translation length at its centre. Mathematics Subject Classifications (2000): 20H10, 30F40, 57S30.
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تاریخ انتشار 2014