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

Autor: Bektaş, Burcu, Canfes, Elif Özkara, Dursun, Uğur
Rok vydání: 2015
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv