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arXiv · 1508.03294

On rotational surfaces in pseudo-Euclidean space $\mathbb{E}^4_t$ with pointwise 1-type Gauss map

Burcu Bektaş·Elif Özkara Canfes·Uğur Dursun
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Abstract

In this work, we study some classes of rotational surfaces in the pseudo-Euclidean space $\mathbb{E}^4_t$ with profile curves lying in 2-dimensional planes. First, we determine all such surfaces in the Minkowski 4-space $\mathbb{E}^4_1$ with pointwise 1-type Gauss map of the first kind and second kind. Then, we obtain rotational surfaces in $\mathbb{E}^4_2$ with zero mean curvature and having pointwise 1--type Gauss map of second kind.

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Burcu Bektaş, Elif Özkara Canfes, Uğur Dursun. 2015-08-13. On rotational surfaces in pseudo-Euclidean space $\mathbb{E}^4_t$ with pointwise 1-type Gauss map. https://arxiv.org/abs/1508.03294

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