Jörgensen's inequality and purely loxodromic two-generator free Kleinian groups

İlker Savaş YÜCE

Makale detayları

Jörgensen's inequality and purely loxodromic two-generator free Kleinian groups

Yazarlar:

İlker Savaş YÜCE

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2019 Vol.43 Issue 2, pp.833-861

Belge Tipi:

Makale

Yayın Tarihi:

3/2019

Belge Dili:

Türkçe

Document ID (Org No.):

2000745652

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

Let ξξ\xi and ηη\eta be two noncommuting isometries of the hyperbolic 333-space H3H3\mathbb{H}^3 so that  Γ=⟨ξ,η⟩Γ=⟨ξ,η⟩\Gamma=\langle\xi,\eta\rangle is a purely loxodromic free Kleinian group. For γ∈Γγ∈Γ\gamma\in\Gamma and z∈\hypz∈\hypz\in\hyp, let dγzdγzd_{\gamma}z denote the hyperbolic distance between zzz and γ(z)γ(z)\gamma(z). Let z1z1z_1 and z2z2z_2 be the midpoints of the shortest geodesic segments connecting the axis of ξξ\xi to the axes of ηξη−1ηξη−1\eta\xi\eta^{-1} and η−1ξηη−1ξη\eta^{-1}\xi\eta, respectively. In this manuscript, it is proved that if $d_{\gamma}z_2.

Makale detayları

Jörgensen's inequality and purely loxodromic two-generator free Kleinian groups

Yazarlar: İlker Savaş YÜCE

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2019 Vol.43 Issue 2, pp.833-861

Belge Tipi: Makale

Yayın Tarihi: 3/2019

Belge Dili: Türkçe

Document ID (Org No.): 2000745652

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

İlker Savaş YÜCE

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2019 Vol.43 Issue 2, pp.833-861

Belge Tipi:

Makale

Yayın Tarihi:

3/2019

Belge Dili:

Türkçe

Document ID (Org No.):

2000745652

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098