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Book Review
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Book Information
Author(s):
Aurel Bejancu
Title:
Finsler geometry and applications
Additional book information:
Ellis Horwood Limited, Chichester, 1990, 198 pp., US$59.50. ISBN 0-13-317975-3
References:
- [1]
- G. S. Asanov, Finsler geometry, relativity, and gauge theories, Reidel Publishing Co., Dordrecht, 1985.
- [2]
- L. Berwald, \"Uber Parallel\"ubertragung in R\"aumen mit allgemeiner Massbestimmung, Jahresber. Deutsch. Math.-Ver. \textbf{34} (1926), 213--220.
- [3]
- C. Carath\'eodory, \emph{\"Uber die diskontinuierlichen L\"osungen in der Variationsrechnung}, 1954 pp.~3--79.
- [4]
- C. Carath\'eodory, \emph{\"Uber die starken Maxima and Minima bei einfachen Integralen}, 1954 pp.~80--142.
- [5]
- E. Cartan, Les espaces de Finsler, Actualit\'es Sci. Indust. \textbf{79} (1934).
- [6]
- P. Finsler, \"Uber Kurven and Fl\"achen in allgemeinen R\"aumen, Dissertation, G\"ottingen, 1918. Reprinted by Birkh\"auser Verlag, Basel, 1951.
- [7]
- M. Matsumoto, Foundations of Finsler geometry and special Finsler spaces, Kaiseicha Press, \B Otsu, 1986.
- [8]
- B. Riemann, \emph{\"Uber die Hypothesen, welche der Geometrie zugrunde liegen}, 1953 pp.~272--287.
- [9]
- H. Rund, The differential geometry of Finsler spaces, Springer-Verlag, Berlin-G\"ottingen-Heidelberg, 1959; (Russian Translation by G. S. Asanov, Nauka, Moscow, 1981.
- [10]
- H. Rund, Direction-dependent connection and curvature forms, Abh. Math. Sem. Univ. Hamburg \textbf{50} (1980), 188--209.
Additional Information:
Reviewer(s):
Hanno
Rund
Review Information:
Journal:
Bull. Amer. Math. Soc.
26
(1992),
148-151.
DOI:
10.1090/S0273-0979-1992-00235-5
PII:
S 0273-0979(1992)00235-5
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