• Title, Summary, Keyword: Fuchsian group

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CONFORMAL DENSITY OF VISIBILITY MANIFOLD

  • Kim, Hyun-Jung
    • Bulletin of the Korean Mathematical Society
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    • v.38 no.1
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    • pp.211-222
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    • 2001
  • In this paper, we prove the existence and uniqueness of a $\delta(\Gamma)$-conformal density on the limit set of $\Gamma$ acting on visibility manifold H for a Fuchsian group $\Gamma$.

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A property of surface groups

  • Moon, Myoung-Ho
    • Communications of the Korean Mathematical Society
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    • v.11 no.3
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    • pp.825-829
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    • 1996
  • We prove that if G is the fundamental group of a closed surface or a Seifert fibered space and K is a finitely generated subgroup of G, and if for any element g in G there exists an integer $n_g$ such that $g^{n_g}$ belongs to K, then K is of finite index in G.

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EISENSTEIN SERIES WITH NON-UNITARY TWISTS

  • Deitmar, Anton;Monheim, Frank
    • Journal of the Korean Mathematical Society
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    • v.55 no.3
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    • pp.507-530
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    • 2018
  • It is shown that for a non-unitary twist of a Fuchsian group, which is unitary at the cusps, Eisenstein series converge in some half-plane. It is shown that invariant integral operators provide a spectral decomposition of the space of cusp forms and that Eisenstein series admit a meromorphic continuation.