대한수학회지 (Journal of the Korean Mathematical Society)

  • 제34권2호
  • /
  • Pages.265-277
  • /
  • 1997
  • /
  • 0304-9914(pISSN)
  • /
  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

ZEEMAN'S THEOREM IN NONDECOMPOSABLE SPACES

  • Duma, Adrian (Department of Mathematics University of Craiova)
  • 발행 : 1997.05.01
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초록

Let E be a real, non-degenerate, indefinite inner product space with dim $E \geq 3$. It is shown that any bijection of E which preserves the light cones is an affine map.

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참고문헌

  1. Rev. Roum. Math. Pures et Appl. v.34 Zeeman’s theorem in Krein spaces T. Balan
  2. Indefinite inner product spaces J. Bognar
  3. Commun. Math. Phys. v.28 The structure of spacetime H. J. Borchers;G. C. Hegerfeldt
  4. Intern J. Theoretical Phys v.19 Elementary proof of Zeeman’s Theorem A. J. Briginshaw
  5. An. Univ. Craiova v.18 On the isometric theory of nondecomposabl A. Duma
  6. Amer. J. Math v.103 Lorentz transformations of a Hilbert space W. F. Pfeffer
  7. J. Math. Phys v.5 Causality implies the Lorentz group E. C. Zeeman