Abstract. In this paper, we investigate a general formulation for inextensible ‡ows of semi-real quaternionic curve in R 4 2 . We obtain necessary and su¢ cient conditions for inextensible ‡ow of semi-real quaternionic curves. Moreover, we give the evolution equation of curvatures as a partial di¤erential equation.
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.