On convolution surfaces in Euclidean 3-space

Selin AYDÖNER; Kadri ARSLAN

doi:https://doi.org/10.33187/jmsm.424796

Makale detayları

On convolution surfaces in Euclidean 3-space

Yazarlar:

Selin AYDÖNER | Kadri ARSLAN

Yayıncı:

Mahmut AKYİĞİT

Ana Başlıklar:

Matematik

Dergi:

Journal of Mathematical Sciences and Modelling 2018 Vol.1 Issue 2, pp.86-92

Belge Tipi:

Makale

Yayın Tarihi:

9/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000486719

Sıklık:

Aylık

pISSN:

2636-8692

DOI:

https://doi.org/10.33187/jmsm.424796

Özet:

 


In the present paper we study with the convolution surface C=M⋆NC=M⋆NC=M\star N of a paraboloid M⊂E3M⊂E3M\subset \mathbb{E}^{3} and a parametric surface N⊂E3N⊂E3N\subset \mathbb{E}^{3}. We take some spacial surfaces for NNN such as, surface of revolution, Monge patch and ruled surface and calculate the Gaussian curvature of the convolution surface CCC. Further, we give necessary and sufficient conditions for a convolution surface CCC to become flat.


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Makale detayları

On convolution surfaces in Euclidean 3-space

Yazarlar: Selin AYDÖNER | Kadri ARSLAN

Yayıncı: Mahmut AKYİĞİT

Ana Başlıklar: Matematik

Dergi: Journal of Mathematical Sciences and Modelling 2018 Vol.1 Issue 2, pp.86-92

Belge Tipi: Makale

Yayın Tarihi: 9/2018

Belge Dili: İngilizce

Document ID (Org No.): 2000486719

Sıklık: Aylık

pISSN: 2636-8692

DOI: https://doi.org/10.33187/jmsm.424796

Sayı

Yazarlar:

Selin AYDÖNER | Kadri ARSLAN

Yayıncı:

Mahmut AKYİĞİT

Ana Başlıklar:

Matematik

Dergi:

Journal of Mathematical Sciences and Modelling 2018 Vol.1 Issue 2, pp.86-92

Belge Tipi:

Makale

Yayın Tarihi:

9/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000486719

Sıklık:

Aylık

pISSN:

2636-8692

DOI:

https://doi.org/10.33187/jmsm.424796