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http://dx.doi.org/10.4134/BKMS.b210150

RIGIDITY OF A RANK 1 CUSP OF PUNCTURED-SURFACE GROUPS IN HYPERBOLIC 4-SPACE  

Kim, Youngju (Department of Mathematics Education Konkuk University)
Publication Information
Bulletin of the Korean Mathematical Society / v.59, no.2, 2022 , pp. 351-360 More about this Journal
Abstract
We prove that a punctured-torus group of hyperbolic 4-space which keeps an embedded hyperbolic 2-plane invariant has a strictly parabolic commutator. More generally, this rigidity persists for a punctured-surface group.
Keywords
Hyperbolic geometry; hyperbolic 4-space; parabolic isometry; punctured-surface group; punctured-torus group; deformation; rigidity;
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Times Cited By KSCI : 2  (Citation Analysis)
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