Abstract:Inspired by the properties of an n-frame of gradients (∇f 1 , . . . , ∇fn) of a Morin map f : M → R n , with dim M ≥ n, we introduce the notion of Morin singularities in the context of singular n-coframes and singular n-frames. We also study the singularities of generic 1-forms associated to a Morin n-coframe, in order to generalize a result of T. Fukuda [4, Theorem 1], which establishes a modulo 2 congruence between the Euler characteristic of a compact manifold M and the Euler characteristics of the singular… Show more
Set email alert for when this publication receives citations?
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.