On space-time, reference frames and the structure of relativity groups
Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Volume 16 (1972) no. 1, pp. 1-22.
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     url = {http://archive.numdam.org/item/AIHPA_1972__16_1_1_0/}
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Berzi, Vittorio; Gorini, Vittorio. On space-time, reference frames and the structure of relativity groups. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Volume 16 (1972) no. 1, pp. 1-22. http://archive.numdam.org/item/AIHPA_1972__16_1_1_0/

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[2] N. Bourbaki, Variétés Différentielles et Analytiques, Résultats, Hermann, Paris, 1967, Section 5.1. | MR | Zbl

[3] J.L. Synge, Relativity, the Special Theory, North Holland Publishing Company, Amsterdam, 1956, chap. 1, sections 2, 3 and 4. | MR | Zbl

[4] N. Bourbaki, Topologie générale, Hermann, Paris, chap. II (fourth edition, 1965), section 4, No. 1, corollary 2 to theorem 1. | MR

[5] (a) A. Lichnerowicz, Théories Relativistes de la Gravitation et de l'Électromagnétisme, Masson, Paris, 1955 ; (b) J.L. Anderson, Principles of Relativity Physics, Academic Press, New York, 1967. | Zbl

[6] B. Mielnik, Commun. Math. Phys., vol. 15, 1969, p. 1. | MR | Zbl

[7] J.-P. Antoine and A. Gleit, Int. J. Theor. Phys., vol. 4, 1971, p. 197.

[8] N. Bourbaki, Topologie générale, Hermann, Paris, chap. X (second edition, 1967), section 1, No. 2, proposition 1.

[9] N. Bourbaki, Ibid., chap. X (second edition, 1967), section 1, No. 2, remarks 1 and 2 and chap II (fourth edition, 1965), section 2, No. 2, corollary to proposition 3.

[10] N. Bourbaki, Variétés Différentielles et Analytiques. Résultats, Hermann, Paris, 1967, section 5.1, No. 6. | MR | Zbl

[11] N. Bourbaki, Topologie générale, Hermann, Paris, chap. X (second edition, 1967), section 3, n° 5 and exercise No. 17.

[12] N. Bourbaki, Ibid., chap X (second edition, 1967), section 3, No. 5.

[13] N. Bourbaki, Ibid., chap. X (second edition, 1967), section 3, No. 4, corollary 1 to theorem 3.

[14] N. Bourbaki, Ibid., chap. X (second édition, 1967), section 1, No. 2, Remark 1 and chap. II (fourth edition, 1965), section 1, No. 2, proposition 1.

[15] N. Bourbaki, Ibid., chap. X (second edition, 1967), section 3, No. 4, theorem 2.

[16] N. Bourbaki, Ibid., chap. X (second edition, 1967), section 3, No. 2, remark 1.

[17] S. Helgason, Differential Geometry and Symmetric Spaces, Academic Press, New York, 1962, chap. II, theorem 3.2. | MR | Zbl

[18] N. Bourbaki, Topologie générale, Hermann, Paris, chap. VII (third edition, 1963), section 1, No. 2.

[19] V. Gorini, Commun. Math. Phys., vol. 21, 1971, p. 150. | MR | Zbl

[20] V. Berzi and V. Gorini, Space-Time, Reference Frames, Relativistic Invariance : a Topological Approach., Milan University report IFUM 108/FT-1970, unpublished.