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Original Articles

A two-point boundary value problem on a Lorentz manifold arising in A. Poltorak’s concept of reference frame

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Pages 389-397 | Received 17 Oct 2006, Accepted 09 Feb 2007, Published online: 21 Jan 2013

References

  • Gliklikh , Yu.E . 1997 . Global Analysis in Mathematical Physics. Geometric and Stochastic Methods , New-York : Springer-Verlag .
  • Gliklikh , Yu.E . 2005 . Global and stochastic analysis in the problems of mathematical physics , Moscow : KomKniga . (in Russian)
  • Gliklikh , Yu.E and Zykov , P.S. 2006 . On the two-point boundary value problem for quadratic second order differential equations and inclusions on manifolds . Abstract and Applied Analysis , 2006Article ID 30395, 1–9
  • Misner , C. , Thorne , K. and Wheeler , J. 1973 . Gravitation , New York : Freeman .
  • Poltorak A. On the covariant theory of gravitation, in 9th International Conference on General Relativity and Gravitation. Abstracts of Contributed Papers, Jena, Vol. 2, 1980, 516–520 (Available on) http://arXiv.org/abs/gr-qc/0403050
  • Poltorak A. On the Energy Problem in General Relativity, in 10th International Conference on General Relativity and Gravitation, Contributed Papers, Editors.: Bertotti B, De Felice F and Pascolini A, Padova, Vol. 1, 1983, 609–615 Available on http://arXiv.org/abs/gr-qc/0403107
  • Poltorak A. Gravity as nonmetricity. General relativity in metric-afine space (Ln, g), v2, 2004, 1–15 http://arXiv.org/abs/gr-qc/0407060
  • Sachs , R.K. and Wu , H. 1977 . General Relativity for Mathematicans , New-York : Springer-Verlag .
  • Zykov , P.S. 2004 . On solvability of a two-point boundary value problem for equations of spray type on Riemannian manifolds . Transactions of RANS, Series MMMIC , 8 ( 1–2 ) : 5 – 13 . in Russian

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