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On spatial symmetry. II

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Abstract

The goal of the present work is to find all the possible objects ψ which transform linearly and intransitively under arbitrary transformations of coordinates in an x-space. As a result of these investigations it was established that there exist, in all, three types of geometric entities: transors, tensors, and M-objects. While transors and tensors are described by a finite number of components, M-objects are described only by an infinite number of components. 1 is found that some dimensionality constant of length plays an important role in the transformation properties of M-objects.

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  1. 1.

    Z. V. Khukhunashvili, Izv. VUZ.SSSR, Fizika, No. 7, 75 (1972).

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Translated from Izvestiya VUZ. Fizika, No. 6, pp. 89–93, June, 1973.

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Khukhunashvlli, Z.V. On spatial symmetry. II. Soviet Physics Journal 16, 813–817 (1973). https://doi.org/10.1007/BF00895696

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Keywords

  • Finite Number
  • Infinite Number
  • Transformation Property
  • Spatial Symmetry
  • Geometric Entity