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Einstein’s connections in nonholonomic frame

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Il Nuovo Cimento (1955-1965)

Summary

For providing a detailed geometrical background of Einstein’s unified field theory (1), Hlavatý has chosen (2) the nonholonomic frame of reference. The object of this note is to give an explicit form of the sixty-four affine connections in the nonholonomic frame with the usual notations (2–4).

Riassunto

Per fornire un dettagliato sostegno geometrico alla teoria del campo unificato di Einstein (1), Hlavatý ha scelto (2) il sistema di riferimento non olonomico. Scopo di questa nota è dare una forma esplicita alle sessantaquattro connessioni affini nel sistema non olonomico con le solite notazioni (2–4).

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References

  1. A. Einstein:The Meaning of Relativity, 4th ed. (Princeton).

  2. V. Hlavatý:Geometry of Einstein’s Unijied Field Theory (Groningen, 1958).

  3. R. S. Mishra:Einstein’s Connections, Tensor (New Series), Vol. 9, No. 1 (Jan. 1959), p. 8.

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  4. K. Chandrashekhar:Nuovo Cimento,25, 1205 (1962).

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  5. J. A. Schouten:Ricci Calculus, Second Ed. (1954).

  6. Ref. (2) p. 79–80.

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Chandrashekhar, K. Einstein’s connections in nonholonomic frame. Nuovo Cim 32, 1166–1181 (1964). https://doi.org/10.1007/BF02726059

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  • DOI: https://doi.org/10.1007/BF02726059

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