During the last four decades, there were numerous important developments on total mean
curvature and the theory of finite type submanifolds. This unique and expanded second …

The theory of finite type submanifolds was introduced by the first author in late 1970s and it
has become a useful tool for investigation of submanifolds. Later, the first author and P …

In this paper, we study canal surfaces in the Euclidean 3-space E^ 3 E 3 in terms of their
Gauss map G G. We obtain a complete classification of canal surfaces whose Gauss maps …

The isotropic 3-space I^ 3 which is one of the Cayley--Klein spaces is obtained from the
Euclidean space by substituting the usual Euclidean distance with the isotropic distance. In …

In this paper, we study canal surfaces in the Euclidean 3-space E^ 3 E 3 in terms of their
Gauss map. We obtain a complete classification of such surfaces whose Gauss map G …

In this paper, we study hypersurfaces in Еⁿ⁺ ¹ whose Gauss map G satisfies the equation
LrG= f (G+ C) for a smooth function f and a constant vector C, where Lr is the linearized …

In the present work, the notion of generalized Cheng–Yau 1-type Gauss map is proposed,
which is similar to the idea of generalized 1-type Gauss maps. Based on this concept, the …

In this paper, we study on three kinds of spacelike helicoidal surfaces in Minkowski $4 $--
space. First, we give an isometry between such helicoidal surfaces and rotational surfaces …

In this paper, we study on three kinds of spacelike helicoidal surfaces in Minkowski 4-space.
First, we give an isometry between such helicoidal surfaces and rotational surfaces which is …

Rotation surfaces with L1-pointwise 1-type Gauss map in pseudo-Galilean space Page 1
ANNALES POLONICI MATHEMATICI 113.3 (2015) Rotation surfaces with L1-pointwise 1-type …