A study on self-similar surfaces

Volume 4, Issue 1, pp 37--44 http://dx.doi.org/10.22436/mns.04.01.04

Publication Date: August 16, 2019 Submission Date: December 18, 2018 Revision Date: January 09, 2019 Accteptance Date: November 30, -0001

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Authors

Mustafa Altin - Bingol University , Vocational School of Technical Sciences, 12000, Bingol, Turkey. Muge Karadag - Inonu University, Faculty of Art and Science, Department of Mathematics, 44280, Malatya, Turkey. H. Bayram Karadag - Inonu University, Faculty of Art and Science, Department of Mathematics, 44280, Malatya, Turkey.

Abstract

In this paper, we study the self-similar surfaces in 4-dimensional Euclidean space \(\mathbb{E}^{4}\). We give an if and only if condition for a generalized rotational surfaces in \( \mathbb{E}^4 \) to be self-similar. In addition we examine self-similarity of some special surfaces in \( \mathbb{E}^4 \). Furthermore we investigate the self-similar condition of Tensor Product surfaces and Meridian surfaces in \(\mathbb{E}^{4}\).

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Keywords

• Self similar surface
• tensor product surfaces
• generalized rotating surfaces
• meridian surface

MSC

•  47H10
•  54H25

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