[HTML][HTML] Complete biconservative surfaces in R3 and S3
S Nistor - Journal of Geometry and Physics, 2016 - Elsevier
In this paper we consider the complete biconservative surfaces in Euclidean space R 3 and
in the unit Euclidean sphere S 3. Biconservative surfaces in 3-dimensional space forms are
characterized by the fact that the gradient of their mean curvature function is an eigenvector
of the shape operator, and we are interested in studying local and global properties of such
surfaces with non-constant mean curvature function. We determine the simply connected,
complete Riemannian surfaces that admit biconservative immersions in R 3 and S 3 …
in the unit Euclidean sphere S 3. Biconservative surfaces in 3-dimensional space forms are
characterized by the fact that the gradient of their mean curvature function is an eigenvector
of the shape operator, and we are interested in studying local and global properties of such
surfaces with non-constant mean curvature function. We determine the simply connected,
complete Riemannian surfaces that admit biconservative immersions in R 3 and S 3 …