An Alternative Surface Measures Construction in Finite-Dimensional Spaces and its Consistency with the Classical Approach
Background. The area formulae are well known for surfaces embedded into a finite-dimensional Euclidean space. However, in the case of an infinite-dimensional Banach manifold, such formulae cannot be used. Thus, a problem of finding an alternative approach to the surface measures construction appears...
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| Format: | Article |
| Language: | English |
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Igor Sikorsky Kyiv Polytechnic Institute
2017-09-01
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| Series: | Наукові вісті Національного технічного університету України "Київський політехнічний інститут" |
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| Online Access: | http://bulletin.kpi.ua/article/view/96805 |