%0 Journal Article
%T H-Recurrent Surfaces in Euclidean Space E^{m}
%A Kadri Arslan
%A Cengizhan Murathan
%A Gunay Ozturk
%A Selen Turkay
%J Sel£¿uk Journal of Applied Mathematics
%D 2011
%I Sel?uk University
%X The object of the paper is to study some smooth surfaces M whose mean curvature vector H satisfies the H-recurrent condition D_{X}H=¦Ë(X)H in m-dimensional Euclidean space E^{m}, where X is a tangent vector field of M and ¦Ë is a 1-form. First of all,we prove that the surfaces which satisfy the H-recurrent condition in E^{m} are R^{ªå}-parallel (i.e., R^{ªå}H=0). Then, we show that H-parallel surfaces in E  are either totally umbilical or normally flat.
%K Mean curvature vector
%K H-parallel surfaces.
%U http://www.sumam.selcuk.edu.tr/12-2-3.html