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- W2005041363 abstract "A multimetrical space group G is the symmetry group of a pattern having lattice periodicity in an affine space made multimetrical by attaching to it a set of metrics of different signature. The Euclidean metric tensor is always supposed to be a member of the set. The point group K of G is generated by elements leaving the lattice invariant and transforming some of the metric tensors of the set into another one of the same set. When the pattern describes a crystal structure in the point-atom approximation, the Euclidean subgroup ${mathit{G}}_{0}$ of G is the space group of the crystal. When the pattern is defined in superspace, i.e., is obtained by the embedding of a quasicrystal structure (as in the cut-projection method), the subgroup ${mathit{G}}_{mathrm{SR}}$ of G leaving the (lower-dimensional) physical space invariant is the scale-space group of the quasicrystal." @default.
- W2005041363 created "2016-06-24" @default.
- W2005041363 creator A5010829985 @default.
- W2005041363 date "1991-06-01" @default.
- W2005041363 modified "2023-10-18" @default.
- W2005041363 title "Concept of a multimetrical space group" @default.
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- W2005041363 doi "https://doi.org/10.1103/physrevb.43.13206" @default.
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