Biharmonic δ(r)-ideal hypersurfaces in Euclidean spaces are minimal
Sign Up to like & getrecommendations! Published in 2020 at "Differential Geometry and Its Applications"
DOI: 10.1016/j.difgeo.2020.101665
Abstract: Abstract A submanifold M n of a Euclidean space E N is called biharmonic if Δ H → = 0 , where H → is the mean curvature vector of M n . A well… read more here.
Keywords: euclidean spaces; euclidean space; biharmonic ideal; ideal hypersurfaces ... See more keywords
Biconservative ideal hypersurfaces in Euclidean spaces
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.10.009
Abstract: Abstract A biconservative submanifold of a Riemannian manifold is a sub-manifold with divergence free stress-energy tensor with respect to bienergy. These are generalizations of biharamonic submanifolds. In 2013, B.Y. Chen and M.I. Munteanu proved that… read more here.
Keywords: biconservative ideal; euclidean spaces; euclidean space; ideal hypersurfaces ... See more keywords