참고문헌
- M. ANASTASIEI, A Historical Remark on the Connections of Chern and Rund in In Finsler Geometry, Contemporary Mathematics, Amer. Math. Soc. 196 (1996), 171-176.
- D. BAO, S. S. Chern and Z. SHEN, Finsler Geometry, Contemporary Mathematics, Amer. Math. Soc. 196 (1996).
- L. BERWALD, Untersuchung der Krummung allgemeiner metrischer Raume auf Grund des in ihnen herrschenden Parallelismus, Math. Z. 25(1) (1926), 40-73. https://doi.org/10.1007/BF01283825
- L. BERWALD, Uber zweidimensionale allgemeine metrische Raume, J. Reine Angew. Math. 156 (1927), 191-222.
- E. Cartan, Sur la representation geometrique des systemes materiels non holonomes, Proc. Int. Congr. Math., Bologna, 4 (1928), 253-261.
- E. Cartan, Les espaces de Finsler, Actual. Sci. Ind. 79 (1934).
- S. S. CHERN, Local Equivalence and Euclidean Connections in Finsler Spaces, Sci. Rep. Nat. Tsing Hua Univ. Ser. A 5 (1948), 95-121.
- S. S. CHERN, On Finsler Geometry, C. R. Acad. Sci. Paris Ser. I Math. 314 (1992), 757-761.
- M. CHO, History and Development of Sphere Theorems in Riemannian Geometry, The Korean Journal for History of Mathematics 24(3) (2011), 23-35.
- P. FINSLER, Uber Kurven und Flachen in allgemeinen Raumen, Dissertation at the University of Gottingen, 1919.
- M. HAIMOVICI, Les formules fondamentales des la theorie des hypersurfaces d'un espace general, Ann. Sci. Univ. Iasi Ser. I., 20 (1935), 39-58.
- M. HAIMOVICI, Le parallelisme dans les espaces de Finsler et la differentialtion invariante de T. Levi-Civita, Ann. Sci. Univ. Iasi Ser. I., 24 (1938), 214-218.
- M. HAIMOVICI, Variete totalment extermales et Variete totalment geodesique dans les espaces de Finsler, Ann. Sci. Univ. Iasi Ser. I., 25 (1939), 559-644.
- M. HAIMOVICI, La geometrie des systemes mecaniques non holonomes, Acad. Repub. Pop. Romine. Fil. Iasi. Stud. Cerc. Sti. Ser. I., 5 (1954), 49-84.
- G. HAN, A Historical Note on Riemann's Life and Achievement, The Korean Journal for History of Mathematics 24(2) (2011), 61-70.
- Y.-W. KIM and Y. JIN, Elie Cartan and Riemannian Geometry of 20th Century, The Korean Journal for History of Mathematics 22(2) (2009), 13-26.
- M. MATSUMOTO, Foundations of Finsler Geometry and Special Finsler Spaces, Kasheisha Press, 1986.
- R. Miron, Le probleme de la geometrisation des systemes mecaniques non holonomes, Acad. R. P. Romine. Fil. Iasi. Stud. Cerc. Sti. Mat., 7 (1956), 15-49.
-
R. MIRON, Les configurations Myller M(C,
${{\xi}_1}^i$ ,$T^{n-1}$ ) dans les espaces de Riemann$V_n$ . Applications a l'etude des hypersurfaces$V_{n-1}$ de$V_n$ , Acad. R. P. Romine Fil. Iasi Stud. Cerc. Sti. Mat, 12 (1961), 315-346. - R. MIRON, M. ANASTASIEI, The Geometry of Lagrange Spaces, Kluwer Academic Publishers, 1993.
- Mathematics Genealogy Project http://genealogy.math.ndsu.nodak.edu/index.php.
- A. MOOR, Uber die Torsions und Krummungsinvarianten der dreidimensionalen Finslerschen Raume, Math. Nachr. 16 (1957), 85-99. https://doi.org/10.1002/mana.19570160204
- C. K. PARK, Lobachevsky's Philosophy of Mathematics and Non-Euclidean Geometry, The Korean Journal for History of Mathematics 24(4) (2011), 21-31.
- B. RIEMANN, Uber die Hypothesen, welche der Geometrie zu Grunde liegen, Abhandlungen der Koniglichen Gesellschaft der Wissenschaften zu Gottingen 13 (1867), 1-15.
- H. RUND, The Differential Geometry of Finsler Spaces, Springer-Verlag, 1959.
- J. SYNGE, A generalization of the Riemannian line-element, Trans. of the Amer. Math. Soc. 27(2) (1925), 61-67. https://doi.org/10.1090/S0002-9947-1925-1501298-7
- J. TAYLOR, Parallelism and transversality in a sub-space of a general (Finsler) space, Ann. of Math. 28(2) (1927), 620-628. https://doi.org/10.2307/1968402
- Wikipedia http://en.wikipedia.org/wiki.
- D. Y. WON, On the Development of Differential Geometry from mid 19C to early 20C by Christoffel, Ricci and Levi-Civita, Journal for History of Mathematics 28(2) (2015), 103-115. https://doi.org/10.14477/jhm.2015.28.2.103
- D. Y. WON, On the History of the Birth of Finsler Geometry at Gottingen, Journal for History of Mathematics 28(3) (2015), 133-149. 원대연, 괴팅겐에서 핀슬러 기하가 탄생한 역사, Journal for History of Mathematics 28(3) (2015), 133-149. https://doi.org/10.14477/jhm.2015.28.3.133
- D. Y. WON, On the History of the establishment of the Hungarian Debrecen School of Finsler Geometry after L. Berwald, Journal for History of Mathematics 31(1) (2018), 37-51. https://doi.org/10.14477/jhm.2018.31.1.037