We present a complete description of all rotational linear Weingarten hypersurfaces in the Euclidean sphere S n+1 . These hypersurfaces are characterized by a linear relation aH1 +bH2 = c, where H1 and H2 stand for the first two symmetric functions of the principal curvature and a, b and c are real constants.
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.