CONFORMAL MAPPINGS OF FINITE RIEMANN SURFACES

Güner ILICAN

Article Details

CONFORMAL MAPPINGS OF FINITE RIEMANN SURFACES

Authors:

Güner ILICAN

Publisher:

E-Journal of New World Sciences Academy

Journal:

Physical Sciences 2015 Vol.0 Issue 0, pp.21-28

Document Type:

Article

Publication Date:

4/2015

Document Language:

English

Document ID (Org No.):

2000830942

Frequency:

Quarterly

eISSN:

1308-7304

Keywords:

Abstract:

 


The purpose of this work is to obtain a new type of conformal mappings of compact finite Riemann surfaces bounded by finitely many analytic Jordan curves. This is achieved by making use of Riemann-Roch theorem. As is well-known, every plane region is conformally equivalent to a parallel slit region. This theorem was carried over the case of Riemann surfaces with finite genus. The other types of conformal mappings can be found in the different literatures. It will be now deal with a different conformal mapping from those. It is a finite sheeted covering surface of the extended complex plane whose each boundary component consists of a closed interval on real axis.

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Bu çalışmanın amacı, sonlu sayıda analitik Jordan eğrileri ile sınırlanan kompakt sonlu Riemann yüzeylerinin konformal dönüşümlerinin yeni bir tipini elde etmektir. Bu, yararlanılarak elde edilir. Bilindiği üzere, her bir düzlem bölgesi konformal olarak paralel bir yarık bölgeye eşdeğerdir. Bu teorem cinsi sonlu Riemann yüzeylerine uygulanmıştır. Konformal dönüşümlerin diğer tipleri farklı eserlerde incelenmiştir. Burada farklı bir konformal dönüşümle ilgilenilecektir. Her sınır bileşeni gerçel eksen üzerinde ve kapalı bir aralık genişletilmiş kompleks düzlemin sonlu örtüsüdür.

Article Details

CONFORMAL MAPPINGS OF FINITE RIEMANN SURFACES

Authors:

Güner ILICAN

Publisher:

E-Journal of New World Sciences Academy

Journal:

Physical Sciences 2015 Vol.0 Issue 0, pp.21-28

Document Type:

Article

Publication Date:

4/2015

Document Language:

English

Document ID (Org No.):

2000830942

Frequency:

Quarterly

eISSN:

1308-7304

Riemann Yüzeyleri

Konformal Dönüşüm

Issues

Article Details

CONFORMAL MAPPINGS OF FINITE RIEMANN SURFACES

Authors: Güner ILICAN

Publisher: E-Journal of New World Sciences Academy

Journal: Physical Sciences 2015 Vol.0 Issue 0, pp.21-28

Document Type: Article

Publication Date: 4/2015

Document Language: English

Document ID (Org No.): 2000830942

Frequency: Quarterly

eISSN: 1308-7304

Riemann Yüzeyleri

Konformal Dönüşüm

Issues

Authors:

Güner ILICAN

Publisher:

E-Journal of New World Sciences Academy

Journal:

Physical Sciences 2015 Vol.0 Issue 0, pp.21-28

Document Type:

Article

Publication Date:

4/2015

Document Language:

English

Document ID (Org No.):

2000830942

Frequency:

Quarterly

eISSN:

1308-7304