The development of rectifying submanifolds
And phrases, Rectifying submanifolds, normal vector field
© 2020 American Mathematical Society. In this paper we will review the recent development of rectifying submanifolds, first starting with rectifying curves in E3 in 2003 by B.-Y. Chen. He provided several characterizations and explicit formula for a space rectifying curve . Then, in 2016, he extended the idea of rectifying curves to rectifying submanifold in the higher dimensional Euclidean spaces En  and after a year later he defined rectifying submanifold in pseudo-Euclidean spaces Emi . The notion of rectifying submanifold in an arbitrary Riemannian manifolds was introduced associated with torqued vector fields  along with some applications and related results , . At the end, a weaker version of rectifying submanifold in a Riemannian manifold was introduced with some properties.
Oh, Yun, "The development of rectifying submanifolds" (2020). Faculty Publications. 1582.