Di Sigmaringen dos Santos Viegas, Francisco Caetano Sur la trace et le théorème de Stokes dans la théorie des distributions. (On the trace and Stokes’ theorem in the theory of distributions). (French) Zbl 0645.58011 Port. Math. 44, No. 1-3, 305-314 (1987). Let X be an n-dimensional manifold piecewise \(C^{\infty}\). Denote by \(\partial_ pX\) a boundary of codimension p, \(p=0,1,...,n\) in X. Then \(X=\partial_ 0X\cup..\cup \partial_ nX\). The author proves the following extension of Stokes’ theorem: Let \(\omega\) be a form- distribution of degree n-1 convergent on \(\partial_ 1X\). Then \(\int_{\partial_ 0X}d\omega =\int_{\partial_ 1X}T_ 1\omega\) where \(T_ 1\omega\) is a certain form on \(\partial_ 1X\) called by the author the trace of \(\omega\) on \(\partial_ 1X\). Reviewer: W.Mozgawa MSC: 58C35 Integration on manifolds; measures on manifolds 58A10 Differential forms in global analysis Keywords:form-distribution; manifold piecewise \(C^{\infty }\); Stokes’ theorem PDFBibTeX XMLCite \textit{F. C. Di Sigmaringen dos Santos Viegas}, Port. Math. 44, No. 1--3, 305--314 (1987; Zbl 0645.58011) Full Text: EuDML