@article{oai:soar-ir.repo.nii.ac.jp:00012051,
author = {ASADA, Akira},
issue = {2},
journal = {信州大学理学部紀要},
month = {Mar},
note = {In our previous paper ([1]), vector analysis on a Sobolev space Wk(X) was investigated and the possibility to give a geometric example of Kerner's higher gauge theory ([6],[7]) was discussed. In this paper, we give a simple example of geometric space on which the exterior derivation is not nilpotent but its n-th power vanishes (n≧3), by using suitable subspace of (∞-p)-forms. This provides a geometric example of Kerner's higher gauge theory. To discuss its algebraic counter part, we also treat Clifford algebra on Wk(X) with infinite degree spinors., Article, 信州大学理学部紀要 31(2): 59-70(1997)},
pages = {59--70},
title = {Vector Analysis on Sobolev Spaces, II},
volume = {31},
year = {1997}
}