TY  - JOUR
TI  - General rotational ξ−surfaces in Euclidean spaces
AB  - The general rotational surfaces in the Euclidean 4-space R
4 was first studied by Moore (1919). The
Vranceanu surfaces are the special examples of these kind of surfaces. Self-shrinker flows arise as special solution of the
mean curvature flow that preserves the shape of the evolving submanifold. In addition, ξ−surfaces are the generalization
of self-shrinker surfaces. In the present article we consider ξ−surfaces in Euclidean spaces. We obtained some results
related with rotational surfaces in Euclidean 4−space R
4
to become self-shrinkers. Furthermore, we classify the general
rotational ξ−surfaces with constant mean curvature. As an application, we give some examples of self-shrinkers and
rotational ξ−surfaces in R
4
.
AU  - Arslan, Kadri
AU  - Bulca, Betul
AU  - YILMAZ, AYDIN
DO  - 10.3906/mat-2006-93
PY  - 2021
JO  - Turkish Journal of Mathematics
VL  - 45
IS  - 3
SN  - 1300-0098
SP  - 1287
EP  - 1299
DB  - TRDizin
UR  - http://search/yayin/detay/527939
ER  -