On convolution surfaces in Euclidean 3-space

Autor: Kadri Arslan, Selin Aydöner
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Journal of Mathematical Sciences and Modelling, Vol 1, Iss 2, Pp 86-92 (2018)
Druh dokumentu: article
ISSN: 2636-8692
DOI: 10.33187/jmsm.424796
Popis: In the present paper we study with the convolution surface $C=M\star N$ of a paraboloid $M\subset \mathbb{E}^{3}$ and a parametric surface $N\subset \mathbb{E}^{3}$. We take some spacial surfaces for $N$ such as, surface of revolution, Monge patch and ruled surface and calculate the Gaussian curvature of the convolution surface $C$. Further, we give necessary and sufficient conditions for a convolution surface $C$ to become flat.
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