Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Surface Pencils in Euclidean 4-space $\mathbb{E}^{4}$   In the present paper we study the problem of constructing a family of
surfaces (surface pencils) from a given curve in 4-dimensional Euclidean space
$\mathbb{E}^{4}$. We have shown that generalized rotation surfaces in
$\mathbb{E}^{4}$ are the special type of surface pencils. Further, the
curvature properties of these surfaces are investigated. Finally, we give some
examples of flat surface pencils in $\mathbb{E}^{4}$.

8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
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The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys