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Communications in Mathematical Physics
Volumn 215, Issue 2, 2000, Pages 433-441
Linearity of space-time transformations without the one-to-one, line-onto-line, or constancy-of-speed-of-light assumptions
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EID: 0034349548     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00005542     Document Type: Article
Times cited : (4)
References (14)
  • 1
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    • On Lorentz transformations
    • No. 3
    • 1. Alexandrov, A. D.: On Lorentz transformations. Usp. Mat. Nauk 5, No. 3(37) 187 (1950); proofs may be found in Alexandrov, A. D.: Mapping of affine spaces with systems of cones. Zap. Nauĉn. Sem. Leningrad. Otdel. Mat. Inst. Steklov (LOMI) 27, 7-16 (1972)
    • (1950) Usp. Mat. Nauk , vol.5 , Issue.37 , pp. 187
    • Alexandrov, A.D.1
  • 2
    • 0002399507 scopus 로고
    • Mapping of affine spaces with systems of cones
    • 1. Alexandrov, A. D.: On Lorentz transformations. Usp. Mat. Nauk 5, No. 3(37) 187 (1950); proofs may be found in Alexandrov, A. D.: Mapping of affine spaces with systems of cones. Zap. Nauĉn. Sem. Leningrad. Otdel. Mat. Inst. Steklov (LOMI) 27, 7-16 (1972)
    • (1972) Zap. Nauĉn. Sem. Leningrad. Otdel. Mat. Inst. Steklov (LOMI) , vol.27 , pp. 7-16
    • Alexandrov, A.D.1
  • 3
    • 0002512768 scopus 로고
    • The structure of the space-time transformations
    • 2. Borchers, H. J., Hegerfeldt, G. C.: The structure of the space-time transformations. Commun. Math. Phys. 28, 259-266 (1972)
    • (1972) Commun. Math. Phys. , vol.28 , pp. 259-266
    • Borchers, H.J.1    Hegerfeldt, G.C.2
  • 6
    • 22844454534 scopus 로고    scopus 로고
    • Fundamental theorem of geometry without the 1-to-1 assumption
    • 5. Chubarev, A., Pinelis, I.: Fundamental theorem of geometry without the 1-to-1 assumption. Proc. AMS 127, 2735-2744 (1999)
    • (1999) Proc. AMS , vol.127 , pp. 2735-2744
    • Chubarev, A.1    Pinelis, I.2
  • 7
    • 0004294569 scopus 로고
    • Cambridge: Cambridge University Press
    • 6. Dixon, W. G.: Special Relativity. Cambridge: Cambridge University Press, 1978
    • (1978) Special Relativity
    • Dixon, W.G.1
  • 8
    • 0028199618 scopus 로고
    • A geometric identity for Pappus' theorem
    • 7. Hawrylycz, M.: A geometric identity for Pappus' theorem. Proc. Nat. Acad. Sci. USA 91, 2909 (1994)
    • (1994) Proc. Nat. Acad. Sci. USA , vol.91 , pp. 2909
    • Hawrylycz, M.1
  • 9
    • 0002402730 scopus 로고
    • The Lorentz transformations: Derivation of linearity and scale factor
    • 8. Hegerfeldt, G. C.: The Lorentz transformations: Derivation of linearity and scale factor. Il Nuovo Cim. A 10, 257-267 (1972)
    • (1972) Il Nuovo Cim. A , vol.10 , pp. 257-267
    • Hegerfeldt, G.C.1
  • 10
    • 0002522014 scopus 로고
    • A characterization of Lorentz transformations
    • 9. Lenard, A.: A characterization of Lorentz transformations. J. Math. Phys. 19, 157 (1978)
    • (1978) J. Math. Phys. , vol.19 , pp. 157
    • Lenard, A.1
  • 11
    • 0002532651 scopus 로고
    • Distance preserving transformations
    • Amsterdam: North Holland
    • 10. Lester, J. A.: Distance preserving transformations. In: Handbook of Incidence Geometry, Amsterdam: North Holland, 1995, pp. 921-944
    • (1995) Handbook of Incidence Geometry , pp. 921-944
    • Lester, J.A.1
  • 12
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    • The geometry of Minkowski spacetime
    • New York: Springer
    • 11. Naber, G. L.: The Geometry of Minkowski Spacetime. Applied Mathematical Sciences. Vol. 92 New York: Springer, 1992
    • (1992) Applied Mathematical Sciences , vol.92
    • Naber, G.L.1
  • 14
    • 0000608386 scopus 로고
    • Causality implies the Lorentz group
    • 13. Zeeman, E. C.: Causality implies the Lorentz group. J. Math. Phys. 5, 490-493 (1964)
    • (1964) J. Math. Phys. , vol.5 , pp. 490-493
    • Zeeman, E.C.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.