On rotational surfaces with zero mean curvature in the pseudo-Euclidean space $\mathbb{E}_2^4$

Burcu Bektaş; Elif Özkara Canfes; Uğur Dursun

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arXiv · 1607.07577

On rotational surfaces with zero mean curvature in the pseudo-Euclidean space $\mathbb{E}_2^4$

Burcu Bektaş·Elif Özkara Canfes·Uğur Dursun

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Abstract

In this work, we study a class of rotational surfaces in the pseudo-Euclidean space $\mathbb{E}_2^4$ whose profile curves lie in two-dimensional planes. We solve the differential equation that characterizes the rotational surfaces with zero mean curvature to determine the profile curves of such rotational surfaces. Then, we give some explicit parametrization of maximal rotational surfaces and the timelike surfaces with zero mean curvature in $\mathbb{E}_2^4$.

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BibTeX RIS

Burcu Bektaş, Elif Özkara Canfes, Uğur Dursun. 2016-07-26. On rotational surfaces with zero mean curvature in the pseudo-Euclidean space $\mathbb{E}_2^4$. https://arxiv.org/abs/1607.07577

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