1 |
B. Riemann, Uber die Hypothesen, welche der Geometrie zu Grunde liegen, Abhandlungen der Koniglichen Gesellschaft der Wissenschaften zu Gottingen 13 (1867), 1-15.
|
2 |
L. Berwald, Untersuchung der Krummung allgemeiner metrischer Raume auf Grund des in ihnen herrschenden Parallelismus, Math. Z. 25(1) (1926), 40-73.
DOI
|
3 |
L. Berwald, Uberdie n-dimensionalen Cartanschen Raume und eine Normalform der zweiten Variation eines (n-1)-fachen Oberflachenintegrals, Acta Math. 71 (1939), 191-248.
DOI
|
4 |
L. Berwald, Uber Finslersche und Cartansche Geometrie. I. Geometrische Erklarungen der Krummung und des Hauptskalars eines zweidimensionalen Finslerschen Raumes, Mathematica, Timisoara 17 (1941), 34-58.
|
5 |
L. Berwald, Uber Finslersche und Cartansche Geometrie II. InvariantenbeiderVariation vielfacher Integrale und Parallelhyperflachen in Cartanschen Raumen, Compositio Math. 7 (1939), 141-176.
|
6 |
E. T. David, K. Yano, On the tangent bundles of Finsler and Riemannian manifolds, Rend. Circ. Mat. Palermo 3(2) (1963), 211-228.
DOI
|
7 |
L. Berwald, On Finsler and Cartan geometries. III. Two-dimensional Finsler spaces with rectilinear extremals, Ann. of Math. 42(2) (1941), 84-112.
DOI
|
8 |
L. Berwald, Uber Finslersche und Cartansche Geometrie. IV. Projektivkrummung allgemeiner affiner Raume und Finslersche Raume skalarer Krummung, Ann. of Math. 48(2) (1947), 755-781.
DOI
|
9 |
E. Cartan, Sur les espaces de Finsler, C. R. Acad. Sci. Paris Ser. I Math. 196 (1933), 582-586.
|
10 |
S. S. Chern, On Finsler Geometry, C. R. Acad. Sci. Paris Ser. I Math. 314 (1992), 757-761.
|
11 |
M. Cho, History and Development of Sphere Theorems in Riemannian Geometry, The Korean Journal for History of Mathematics 24(3) (2011), 23-35.
|
12 |
E. T. David, K. Yano, On the connection in Finsler space as an induced connection, Rend. Circ. Mat. Palermo 3(2) (1954), 409-417.
DOI
|
13 |
E. T. David, K. Yano, Metrics and connections in the tangent bundle, Kodai Math. Sem. Rep. 23 (1971), 493-504.
DOI
|
14 |
L. P. Eisenhart, Finsler spaces derived from Riemann spaces by constant transformations, Ann. Math. 49(2) (1948) 27-54.
DOI
|
15 |
J. Taylor, A generalization of Levi-Civita's parallelism and the Frenet formulas, Trans. of the Amer. Math. Soc. 27(2) (1925), 246-264.
DOI
|
16 |
J. Taylor, Parallelism and transversality in a sub-space of a general (Finsler) space, Ann. of Math. 28(2) (1927), 620-628.
DOI
|
17 |
Won D. Y., On the History of the Birth of Finsler Geometry at Gottingen, Journal for History of Mathematics 28(3) (2015), 133-149.
DOI
|
18 |
Won D. Y., 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.
DOI
|
19 |
Won D. Y., On the History of Formation of Romanian School of Finsler Geometry, Journal for History of Mathematics 32(1) (2019), 1-15.
DOI
|
20 |
K. Yano, S. Ishihara, Tangent and Cotangent Bundles, Marcel Dekker Inc., New York, 1973.
|
21 |
Mathematics Genealogy Project 수학 계보 프로젝트, http://genealogy.math.ndsu.nodak.edu/index.php.
|
22 |
Wikipedia 위키백과, http://en.wikipedia.org/wiki.
|
23 |
MathSciNet 수학넷, https://mathscinet.ams.org/mathscinet/.
|
24 |
The MacTutor History of Mathematics Archive 맥튜터 수학사 기록 보관소, http://www-history.mcs.st-and.ac.uk/Biographies.
|
25 |
Won D. Y., 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.
DOI
|
26 |
A. Kawaguchi, Theory of connections in the generalized Finsler manifold, II, Proc. Imp. Acad. 8(8) (1932), 340-343.
DOI
|
27 |
L. P. Eisenhart, Generalized Riemann spaces, Proc. Nat. Acad. Sci. 37 (1951), 11-15.
DOI
|
28 |
P. Finsler, Uber Kurven und Flachen in allgemeinen Raumen, Dissertation at the University of Gottingen, 1919.
|
29 |
A. Kawaguchi, Theory of connections in the generalized Finsler manifold, Proc. Imp. Acad. 7(6) (1931), 211-214.
DOI
|
30 |
A. Kawaguchi, Geometry in an n-Dimensional Space With the Arc Length, Transactions of the American Mathematical Society 44(2) (1938), 153-167.
DOI
|
31 |
M. Matsumoto, Foundations of Finsler Geometry and special Finsler spaces, Kasheisha Press, 1986.
|
32 |
Kim Y.-W., Jin Y., Elie Cartan and Riemannian Geometry of 20th Century, The Korean Journal for History of Mathematics 22(2) (2009), 13-26.
|
33 |
M. Matsumoto, A global foundation of Finsler Geometry, Memo. Coll. Sci. Univ. of Kyoto A 33 (1960/61), 171-208.
|
34 |
M. Matsumoto, Metrical Differential Geometry (Japanese), Kiso-Sugaku-Sensho, Shokabo, Tokyo, 1975.
|
35 |
T. Okubo, K. Yano, On tangent bundles with Sasakian metrics of Finslerian and Riemannian manifolds, Ann. Mat. Pura. Appl. 87(4) (1970), 137-162.
DOI
|
36 |
H. Rund, The Differential Geometry of Finsler Spaces, Springer-Verlag, 1959.
|
37 |
S. Sabau, H. Shimada, Finsler Geometry, Sapporo 2005 - In Memory of Makoto Matsumoto Advanced Studies in Pure Mathematics 48(2007), Mathematical Society of Japan.
|
38 |
E. Cartan, Les espaces de Finsler, Actual. Sci. Ind., no. 79, Herman, 1934.
|