Fractional dimension of a manifold
In this paper we will introduce the new concept “There are no one- or two-dimensional Riemannian manifolds”. Another idea is the consideration of the geometric volume of the manifold as proportional to the energy. Some applications are given at the end of this paper.
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| Published in | Chaos, solitons and fractals Vol. 14; no. 1; pp. 77 - 80 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.07.2002
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| Online Access | Get full text |
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| Summary: | In this paper we will introduce the new concept “There are no one- or two-dimensional Riemannian manifolds”. Another idea is the consideration of the geometric volume of the manifold as proportional to the energy. Some applications are given at the end of this paper. |
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| ISSN: | 0960-0779 1873-2887 |
| DOI: | 10.1016/S0960-0779(01)00184-9 |