Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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RIGIDITY OF A RANK 1 CUSP OF PUNCTURED-SURFACE GROUPS IN HYPERBOLIC 4-SPACE

  • Kim, Youngju (Department of Mathematics Education Konkuk University)
  • Received : 2021.02.19
  • Accepted : 2021.12.31
  • Published : 2022.03.31
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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

Acknowledgement

This paper was supported by Konkuk University in 2018.

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