Book Review
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Book Information:
Author: 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.
- [1] G. S. Asanov, Finsler geometry, relativity, and gauge theories, Reidel Publishing Co., Dordrecht, 1985. MR 827217 (87d:53122)
- [2] L. Berwald, Über Parallelübertragung in Räumen mit allgemeiner Massbestimmung, Jahresber. Deutsch. Math.-Ver. 34 (1926), 213-220.
- [3] C. Carathéodory, Über die diskontinuierlichen Lösungen in der Variationsrechnung, Dissertation, Göttingen, 1904, Collected Works, vol. 1, C. H. Beck, München, 1954, pp. 3-79.
- [4] -, Über die starken Maxima and Minima bei einfachen Integralen, Math. Ann. 62 (1906), 449-503. Collected Works, vol. 1, C. H. Beck, München, 1954, pp. 80-142. MR 1511387
- [5] E. Cartan, Les espaces de Finsler, Actualités Sci. Indust. 79 (1934).
- [6] P. Finsler, Über Kurven and Flächen in allgemeinen Räumen, Dissertation, Göttingen, 1918. Reprinted by Birkhäuser Verlag, Basel, 1951. MR 0042195 (13:74d)
- [7] M. Matsumoto, Foundations of Finsler geometry and special Finsler spaces, Kaiseicha Press, Ōtsu, 1986. MR 858830 (88f:53111)
- [8] B. Riemann, Über die Hypothesen, welche der Geometrie zugrunde liegen, Habilitationsschrift, Göttingen, 1854. Collected Works, Dover Publications, NY, 1953, pp. 272-287.
- [9] H. Rund, The differential geometry of Finsler spaces, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1959; (Russian Translation by G. S. Asanov, Nauka, Moscow, 1981). MR 641695 (83i:53097)
- [10] -, Direction-dependent connection and curvature forms, Abh. Math. Sem. Univ. Hamburg 50 (1980), 188-209. MR 593750 (81m:53036)
Review Information:
Reviewer: Hanno Rund
Journal: Bull. Amer. Math. Soc. 26 (1992), 148-151
DOI: https://doi.org/10.1090/S0273-0979-1992-00235-5
