English

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

Differential Geometry 2015-08-14 v1

Abstract

In this work, we study some classes of rotational surfaces in the pseudo-Euclidean space Et4\mathbb{E}^4_t with profile curves lying in 2-dimensional planes. First, we determine all such surfaces in the Minkowski 4-space E14\mathbb{E}^4_1 with pointwise 1-type Gauss map of the first kind and second kind. Then, we obtain rotational surfaces in E24\mathbb{E}^4_2 with zero mean curvature and having pointwise 1--type Gauss map of second kind.

Keywords

Cite

@article{arxiv.1508.03294,
  title  = {On rotational surfaces in pseudo-Euclidean space $\mathbb{E}^4_t$ with pointwise 1-type Gauss map},
  author = {Burcu Bektaş and Elif Özkara Canfes and Uğur Dursun},
  journal= {arXiv preprint arXiv:1508.03294},
  year   = {2015}
}
R2 v1 2026-06-22T10:33:11.710Z