@article{oai:soar-ir.repo.nii.ac.jp:00012057,
author = {ASADA, Akira},
issue = {1},
journal = {信州大学理学部紀要},
month = {Nov},
note = {(∞-p)-forms on a k-th Sobolev space Wk(X), X a compact (spin) manifold, is defined by using Sobolev duality. Integrals of (∞-p)-forms on a cube in Wk(X) are defined without using measure. It is shown that exterior differentiability of an (∞-p) -form is astrong constraint and an exterior differentiable (∞-p)-form is always globally exact. As a consequence, the exterior differential operator d is not nilpotent when acting on the space of (∞-p)-forms. Stokes' Theorem for the integrals of (∞-p)-forms is also shown., Article, 信州大学理学部紀要 31(1): 7-20(1996)},
pages = {7--20},
title = {Vector Analysis on Sobolev Spaces},
volume = {31},
year = {1996}
}