Spaces with torsion from embedding, and the special role of autoparallel trajectories

Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

Volumn 428, Issue 3-4, 1998, Pages 315-321

  Kleinert, Hagen ^a   Shabanov, Sergei V ^a,b  

^a FREIE UNIVERSITÄT BERLIN   (Germany)

^b JOINT INSTITUTE FOR NUCLEAR RESEARCH   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0347485982     PISSN: 03702693     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0370-2693(98)00421-3     Document Type: Article

References (15)

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2. V.I. Arnold, V.V. Koslov, A.I. Neishtadt, in: Encyclopedia of Mathematical Sciences, Dynamical Systems III, Mathematical Aspects of Classical and Celestial Mechanics, Springer-Verlag, Berlin, 1988; L.A. Pars, A Treatise on Analytical Dynamics, Heinemann, London, 1965; G. Hamel, Theoretische Mechanik - Eine einheitliche Einführung in die gesamte Mechanik, Springer Series in Mathematics, vol. 57, Springer, Berlin, 1978.
3. V.I. Arnold, V.V. Koslov, A.I. Neishtadt, in: Encyclopedia of Mathematical Sciences, Dynamical Systems III, Mathematical Aspects of Classical and Celestial Mechanics, Springer-Verlag, Berlin, 1988; L.A. Pars, A Treatise on Analytical Dynamics, Heinemann, London, 1965; G. Hamel, Theoretische Mechanik - Eine einheitliche Einführung in die gesamte Mechanik, Springer Series in Mathematics, vol. 57, Springer, Berlin, 1978.
4. V.I. Arnold, V.V. Koslov, A.I. Neishtadt, in: Encyclopedia of Mathematical Sciences, Dynamical Systems III, Mathematical Aspects of Classical and Celestial Mechanics, Springer-Verlag, Berlin, 1988; L.A. Pars, A Treatise on Analytical Dynamics, Heinemann, London, 1965; G. Hamel, Theoretische Mechanik - Eine einheitliche Einführung in die gesamte Mechanik, Springer Series in Mathematics, vol. 57, Springer, Berlin, 1978.
5. L.S. Polak (Ed.), Variational principles of mechanics. Collection of papers, Moscow, Fizmatgiz, 1959.
6. See, e.g., C.W. Misner, K.S. Thorn, J.A. Wheeler, Gravitation, New York, W.H. Freeman and Co, 1973, and references therein.
7. V.N. Ponomorev, Bull. Acad. Pol. Sci. (Math., Astr., Phys.) 19 (1971) 545; This work was criticized on the basis of a general class of gravitational field theories with torsion by F.W. Hehl, Phys. Lett. A 36 (1971) 225.
8. V.N. Ponomorev, Bull. Acad. Pol. Sci. (Math., Astr., Phys.) 19 (1971) 545; This work was criticized on the basis of a general class of gravitational field theories with torsion by F.W. Hehl, Phys. Lett. A 36 (1971) 225.
9. H. Kleinert, Path Integrals in Quantum Mechanics, Statistics and Polymer Physics, World Scientific, Singapore, Second Edition, 1995. (http://www.physik.fu-berlin.de/̃kleinert/kleiner_re.html#b2); P. Fiziev, H. Kleinert, Europhys. Lett. 35 (1996) 241, hep-th/9503074; H. Kleinert, A. Pelster, Berlin preprint, 1996 (gr-qc/9605028); H. Kleinen, FU-Berlin preprint, 1997 (APS E-Print aps1997sep03_002).
10. H. Kleinert, Path Integrals in Quantum Mechanics, Statistics and Polymer Physics, World Scientific, Singapore, Second Edition, 1995. (http://www.physik.fu- berlin.de/̃kleinert/kleiner_re.html#b2); P. Fiziev, H. Kleinert, Europhys. Lett. 35 (1996) 241, hep-th/9503074; H. Kleinert, A. Pelster, Berlin preprint, 1996 (gr-qc/9605028); H. Kleinen, FU-Berlin preprint, 1997 (APS E-Print aps1997sep03_002).
11. H. Kleinert, Path Integrals in Quantum Mechanics, Statistics and Polymer Physics, World Scientific, Singapore, Second Edition, 1995. (http://www.physik.fu- berlin.de/̃kleinert/kleiner_re.html#b2); P. Fiziev, H. Kleinert, Europhys. Lett. 35 (1996) 241, hep-th/9503074; H. Kleinert, A. Pelster, Berlin preprint, 1996 (gr-qc/9605028); H. Kleinen, FU-Berlin preprint, 1997 (APS E-Print aps1997sep03_002).
12. H. Kleinert, Path Integrals in Quantum Mechanics, Statistics and Polymer Physics, World Scientific, Singapore, Second Edition, 1995. (http://www.physik.fu- berlin.de/̃kleinert/kleiner_re.html#b2); P. Fiziev, H. Kleinert, Europhys. Lett. 35 (1996) 241, hep-th/9503074; H. Kleinert, A. Pelster, Berlin preprint, 1996 (gr-qc/9605028); H. Kleinen, FU-Berlin preprint, 1997 (APS E-Print aps1997sep03_002).
13. H. Kleinen, Gauge Fields in Condensed Matter, vol. II, Stresses and Defects, World Scientific, Singapore, 1989; see in particular pp. 1338-1377 (http://www.physik.fu-berlin.de/̃kleinert/kleiner_re.html#b2).
14. T.W. Kibble, J. Math. Phys. 2 (1961) 212.
15. P.A.M. Dirac, Lectures on Quantum Mechanics, Yeshiva University Press, NY, 1964.