2024-03-29T09:02:36Z
https://soar-ir.repo.nii.ac.jp/oai
oai:soar-ir.repo.nii.ac.jp:00012051
2023-03-08T01:52:28Z
1169:1171:1172:1188
Vector Analysis on Sobolev Spaces, II
ASADA, Akira
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)
信州大学理学部
1997-03-29
eng
departmental bulletin paper
VoR
http://hdl.handle.net/10091/10643
https://soar-ir.repo.nii.ac.jp/records/12051
0583-063X
AA00697923
信州大学理学部紀要
31
2
59
70
https://soar-ir.repo.nii.ac.jp/record/12051/files/Science31-02-02.pdf
application/pdf
450.7 kB
2015-09-28