Automorphisms of Klein Surfaces of Algebraic Genus One

Adnan  MELEKOĞLU

Makale detayları

Automorphisms of Klein Surfaces of Algebraic Genus One

Yazarlar:

Adnan MELEKOĞLU

Yayıncı:

Cankaya University

Dergi:

Cankaya University Journal of Arts and Sciences 2006 Vol.1 Issue 5, pp.71-78

Belge Tipi:

Makale

Yayın Tarihi:

3/2006

Belge Dili:

Türkçe

Document ID (Org No.):

2000903015

Sıklık:

İki Yıllık

eISSN:

1309-6761

pISSN:

1309-6761

Anahtar kelimeler:

Özet:

 

Cebirsel cinsi bir olan Klein yüzeyleri; Möbius şeridi, silindir ve Klein şişesidir. Bu çalışmada bu yüzeylerin otomorfizmaları belirlenmiştir.Let X be a compact Riemann surface of genusg ≥ 1 . An automorphism of X is a conformal or anti-conformal homeomorphism f : X → X . X is called symmetric if it admits an anti-conformal involution s : X → X which we call a symmetry of X . The quotient surface S = X /〈s〉 is a Klein surface. By a Klein surface we mean a surface with a dianalytic structure (see [1]). Here X is called the complex double of S . The algebraic genus of S is then defined to be the topological genus of X . It is known that the Klein surfaces of algebraic genus one are the Möbius band, the annulus and the Klein bottle. In this paper we study theautomorphisms of these surfaces. We do not claim originality of the work. However, it contains something demonstrative of the method, not readily available in the literature, which may be helpful to those who are not experts but wish to understand the subject.

Makale detayları

Automorphisms of Klein Surfaces of Algebraic Genus One

Yazarlar:

Adnan MELEKOĞLU

Yayıncı:

Cankaya University

Dergi:

Cankaya University Journal of Arts and Sciences 2006 Vol.1 Issue 5, pp.71-78

Belge Tipi:

Makale

Yayın Tarihi:

3/2006

Belge Dili:

Türkçe

Document ID (Org No.):

2000903015

Sıklık:

İki Yıllık

eISSN:

1309-6761

pISSN:

1309-6761

Klein yüzeyi

Möbius şeridi

silindir

Klein şişesi

otomorfizma

Sayı

Makale detayları

Automorphisms of Klein Surfaces of Algebraic Genus One

Yazarlar: Adnan MELEKOĞLU

Yayıncı: Cankaya University

Dergi: Cankaya University Journal of Arts and Sciences 2006 Vol.1 Issue 5, pp.71-78

Belge Tipi: Makale

Yayın Tarihi: 3/2006

Belge Dili: Türkçe

Document ID (Org No.): 2000903015

Sıklık: İki Yıllık

eISSN: 1309-6761

pISSN: 1309-6761

Klein yüzeyi

Möbius şeridi

silindir

Klein şişesi

otomorfizma

Sayı

Yazarlar:

Adnan MELEKOĞLU

Yayıncı:

Cankaya University

Dergi:

Cankaya University Journal of Arts and Sciences 2006 Vol.1 Issue 5, pp.71-78

Belge Tipi:

Makale

Yayın Tarihi:

3/2006

Belge Dili:

Türkçe

Document ID (Org No.):

2000903015

Sıklık:

İki Yıllık

eISSN:

1309-6761

pISSN:

1309-6761