In this paper, we investigate two versions of equations which describe the motion of relativistic membranes in the Minkowski space R 1+n and prove the equivalence between them. Moreover, we give another geometric explanation about the equivalence by Noether's second theorem. Applying the same argument, we also give the equivalence between two versions of equations governing the motion of relativistic strings.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.