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Fractional dimension of a manifold
- Source :
- Chaos, Solitons & Fractals. 14:77-80
- Publication Year :
- 2002
- Publisher :
- Elsevier BV, 2002.
-
Abstract
- 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.
- Subjects :
- Pure mathematics
Closed manifold
General Mathematics
Applied Mathematics
Mathematical analysis
Invariant manifold
General Physics and Astronomy
Statistical and Nonlinear Physics
Pseudo-Riemannian manifold
Statistical manifold
Volume form
symbols.namesake
symbols
Hermitian manifold
Minimal volume
Mathematics::Differential Geometry
Mathematics::Symplectic Geometry
Center manifold
Mathematics
Subjects
Details
- ISSN :
- 09600779
- Volume :
- 14
- Database :
- OpenAIRE
- Journal :
- Chaos, Solitons & Fractals
- Accession number :
- edsair.doi...........2f45ab31f5323e04bcb9070450bee7ba