On generalized rotational surfaces in euclidean spaces
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This article is published in Journal of The Korean Mathematical Society.The article was published on 2017-05-01 and is currently open access. It has received 10 citations till now. The article focuses on the topics: Euclidean geometry.read more
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Rotational Surfaces Generated by Cubic Hermitian and Cubic Bezier Curves
TL;DR: In this paper, the rotation surfaces have been constructed by using cubic Hermitian and cubic Bezier curves with two local shape parameters and some characterizations have been given for these rotational surfaces obtaining the mean and Gaussian curvatures of them.
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Flat Rotational Surfaces with Pointwise 1-Type Gauss Map Via Generalized Quaternions
TL;DR: In this article, the authors determine a rotational surface by means of generalized quaternions and study this surface with pointwise 1-type Gauss map in four-dimensional generalized space.
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Implicit equations of the henneberg-type minimal surface in the four dimensional euclidean space
TL;DR: In this paper, a two-parameter family of Henneberg-type minimal surfaces for positive integers (m, n ) was introduced by using the Weierstrass representation in the four-dimensional Euclidean space.
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Rotational surfaces in higher dimensional Euclidean spaces
TL;DR: In this article, the generalized rotational surfaces in Euclidean m-space were considered and the second fundamental form and curvatures of the surfaces were derived for generalized rotations.