On the Indicatrix and Isotropy Group in Finsler Spaces with Lorentz Signature

John K. Beem

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1973)

  • Volume: 54, Issue: 3, page 385-392
  • ISSN: 0392-7881

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Beem, John K.. "On the Indicatrix and Isotropy Group in Finsler Spaces with Lorentz Signature." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 54.3 (1973): 385-392. <http://eudml.org/doc/293790>.

@article{Beem1973,
author = {Beem, John K.},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {3},
number = {3},
pages = {385-392},
publisher = {Accademia Nazionale dei Lincei},
title = {On the Indicatrix and Isotropy Group in Finsler Spaces with Lorentz Signature},
url = {http://eudml.org/doc/293790},
volume = {54},
year = {1973},
}

TY - JOUR
AU - Beem, John K.
TI - On the Indicatrix and Isotropy Group in Finsler Spaces with Lorentz Signature
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1973/3//
PB - Accademia Nazionale dei Lincei
VL - 54
IS - 3
SP - 385
EP - 392
LA - eng
UR - http://eudml.org/doc/293790
ER -

References

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  1. BEEM, J. K., Indefinite Finsler spaces and timelike spaces, «Cand. J. Math.», 22, 1035-1039 (1970). Zbl0204.22003MR267513DOI10.4153/CJM-1970-119-7
  2. BEEM, J. K., Motions in two dimensional indefinite Finsler spaces, «Indiana Univ. Math. J.», 21, 551-555 (1971). Zbl0216.18402MR292007DOI10.1512/iumj.1971.21.21044
  3. BUSEMANN, H., Timelike spaces, «Dissertationes Math. Rozprawy Mat.», 53, 52 pp. (1967). MR220238
  4. KONDO, K., A Finslerian approach to space-time and some microscopic as well as macroscopic criteria with references to quantization, mass spectrum and plasticity, «RAAG Memoirs», 3, 199-210 (1962). 
  5. MATSUMOTO, M., Connections, metrics and almost complex structures of tangent bundles, «J. Math. Kyoto Univ.», 5, 251-278 (1966). Zbl0147.21702MR227885DOI10.1215/kjm/1250524484
  6. MATSUMOTO, M., Theory of Finsler spaces and differential geometry of tangent bundles, «J. Math. Kyoto Univ.», 7, 169-204 (1967). Zbl0171.42801MR222825DOI10.1215/kjm/1250524276
  7. RUND, H., The differential geometry of Finsler spaces, Springer-Verlag, Berlin, 1959. Zbl0087.36604MR105726
  8. SASAKI, S., On the differential geometry of tangent bundles of Riemannian manifolds, «Tohoku Math. J.», (2) 10, 338-354 (1958). Zbl0086.15003MR112152DOI10.2748/tmj/1178244668
  9. TASHIRO, Y., A theory of transformation groups on generalized spaces and its application to Finsler and Cartan spaces, «J. Math. Soc. Japan», 11, 42-71 (1959). Zbl0084.37602MR105153DOI10.2969/jmsj/01110042
  10. WANG, H. C., On Finsler spaces with completely integrable equations of Killing, «J. London Math. Soc.», 22, 5-9 (1947). Zbl0029.16604MR22431DOI10.1112/jlms/s1-22.1.5
  11. YANO, K. and OKUBO, T., On the tangent bundles with Sasakian metrics of Finslerian and Riemannian manifolds, «Ann. Mat. Pura Appl.», (4) 87, 137-162 (1970). Zbl0206.50804MR284963DOI10.1007/BF02411976

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