In the present study we consider generalized rotation surfaces imbedded in an Euclidean
space of four dimensions. We also give some special examples of these surfaces in\mathbb …

We introduce a class of submanifolds, namely, Generalized Cauchy--Riemann (GCR)
lightlike submanifolds of indefinite Kaehler manifolds. We show that this new class is an …

In this article we investigate Vranceanu rotation surfaces with pointwise 1-type Gauss map in
Euclidean 4-space E^ 4. We show that a Vranceanu rotation surface M has harmonic Gauss …

It is well known that totally geodesic Lagrangian submanifolds of a complex-space-form M˜ n
(4c) of constant holomorphic sectional curvature 4c are real-space-forms of constant …

Tensor product immersions of a given Riemannian manifold was initiated by B.-Y. Chen. In
the present article we study the tensor product surfaces of two Euclidean plane curves. We …

The structure of pointwise slant submanifolds in an almost product Riemannian manifold is
investigated and the special proper pointwise slant surfaces of a locally product manifold are …

In this paper, we define the generalized bicomplex numbers and give some algebraic
properties of them. Also, we show that some hyperquadrics in R^ 4 R 4 and R _ 2^ 4 R 2 4 …

In this paper, we show that a hyperquadric M in R 4 is a Lie group by using bicomplex
number product. By means of the tensor product surfaces of Euclidean planar curves, we …

For many immersions< quad f, h which are not< quad transversal,< quad the t ensor
product< quad f $< his st i ll worthwhile to be investigated and in many cases st il l produces …

In the present study, we calculate the coefficients of the second fundamental form and
curvature ellipse of Chen surfaces in E 4. Further, we give the necessary and sufficent …