Bulletin of the Korean Mathematical Society (대한수학회보)
- Volume 28 Issue 2
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- Pages.225-229
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- 1991
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- 1015-8634(pISSN)
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- 2234-3016(eISSN)
A GENERALIZATION OF DIFFERENTIAL FORMS AND ITS APPLICATION
- Shikata, Yoshihiro (Department of Mathematics, Nagoya University) ;
- Hong, Suk-Ho (Department of Mathematics, Hallym University)
- Published : 1991.08.01
Abstract
Our final purpose may be to introduce generalized differential forms on the space Map(S, M) of mappings from a manifold S into a manifold M and discuss the differential geometry of the space Map(S, M) from the point of the generalized forms. Here we take a subspace X of the space Map(S,M) and we introduce the generalized differential forms on X, taking the dual to the chain space with the flat norm. This method of construction allows us to discuss a sufficient condition for a subspace Y of X to admit the generalized differential forms and the natural integration as the dual operation.
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