References
L. Berwald, Über zweidimensionale allgemeine metrische Räume,J. Reine Angew. Math. 156 (1927), 191–222.
L. Berwald, Über Finslersche und Cartansche Geometrie I. Geometrische Erklärungen der Krümmung und des Hauptskalars eines zweidimensionalen Finslerschen Raumes,Mathematica 17 (1941), 34–58.MR 3-311.
E. Cartan,Les espaces de Finsler, Actualités scient. et industr. Nr. 79, Exposés de géométrie II, Hermann & Cie. Paris, 1934, 42 pp.Zbl 8, 418;211, 244.
A. Deicke, Über die Finsler-Räume mitA i=0,Arch. Math. 4 (1953), 45–51.MR 14-1017
M. Matsumoto,The theory of Finsler connections, Publications of the Study Group of Geometry, Vol.5, Department of Mathematics, College of Liberal Arts Sci., Okayama University, Okayama, 1970, XV + 220 pp.MR 42 # 2409
M. Matsumoto, On Finsler spaces with curvature tensors of some special forms,Tensor (N. S.) 22 (1971), 201–204.MR 45 # 1096.
M. Matsumoto, OnC-reducible Finsler spaces,Tensor (N. S.) 24 (1972), 53–59.MR 48 # 4951.
M. Matsumoto, A theory of three-dimensional Finsler spaces in terms of scalars,Demonstratio Math. 6 (1973), 223–251.MR 49 # 9772
M. A. McAvity, Theory of imbedding of a subspace of a Riemannian manifold,Utilitas Math. 2 (1972), 159–180.MR 47 # 4170
A. Moór, Quelques remarques sur la généralisation du scalaire de courbure et du scalaire principal,Canadian J. Math. 4 (1952), 189–197.MR 13-871.
A. Moór, Über die Torsions- und Krümmungsinvarianten der dreidimensionalen Finslerschen Räume,Math. Nachr. 16 (1957), 85–99.MR 19-765
T. Nobuhara andT. Nagai, On the special Finsler space of three dimensions,Tensor (N. S.) 2 (1952), 175–180.MR 15-556
Author information
Authors and Affiliations
Additional information
This article is the text of a talk given at the Symposium on Differential Geometry in Debrecen, Hungary, on August 28 – September 3, 1975.
Rights and permissions
About this article
Cite this article
Matsumoto, M., Miron, R. On an invariant theory of the Finsler spaces. Period Math Hung 8, 73–82 (1977). https://doi.org/10.1007/BF02018050
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02018050