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On the History of the Birth of Finsler Geometry at Gottingen
원대연,Won, Dae Yeon The Korean Society for History of Mathematics 2015 Journal for history of mathematics Vol.28 No.3
Arrivals of Hilbert and Minkowski at $G\ddot{o}ttingen$ put mathematical science there in full flourish. They further extended its strong mathematical tradition of Gauss and Riemann. Though Riemann envisioned Finsler metric and gave an example of it in his inaugural lecture of 1854, Finsler geometry was officially named after Minkowski's academic grandson Finsler. His tool to generalize Riemannian geometry was the calculus of variations of which his advisor $Carath\acute{e}odory$ was a master. Another $G\ddot{o}ttingen$ graduate Busemann regraded Finsler geometry as a special case of geometry of metric spaces. He was a student of Courant who was a student of Hilbert. These figures all at $G\ddot{o}ttingen$ created and developed Finsler geometry in its early stages. In this paper, we investigate history of works on Finsler geometry contributed by these frontiers.
원대연,Won, Dae Yeon 한국수학사학회 2021 Journal for history of mathematics Vol.34 No.3
This paper is a continuation of the study on the history of the Japanese school of Finsler geometry. We had studied on the birth of Japanese school of Finsler geometry. In this paper, we find out what motivated Japanese to embrace Finsler geometry and we collect the history and analyze trends of Japanese school of Finsler geometry since its founding by M. Matsumoto.
크리스토펠, 리치, 레비-치비타에 의한 19세기 중반부터 20세기 초반까지 미분기하학의 발전
원대연,Won, Dae Yeon 한국수학사학회 2015 Journal for history of mathematics Vol.28 No.2
Contemporary differential geometry owes much to the theory of connections on the bundles over manifolds. In this paper, following the work of Gauss on surfaces in 3 dimensional space and the work of Riemann on the curvature tensors on general n dimensional Riemannian manifolds, we will investigate how differential geometry had been developed from mid 19th century to early 20th century through lives and mathematical works of Christoffel, Ricci-Curbastro and Levi-Civita. Christoffel coined the Christoffel symbol and Ricci used the Christoffel symbol to define the notion of covariant derivative. Levi-Civita completed the theory of absolute differential calculus with Ricci and discovered geometric meaning of covariant derivative as parallel transport.
변근주,김영진,이상민,원대연 연세대학교 산업기술연구소 1989 논문집 Vol.21 No.1
In this study, a series of experiments is carried out to investigate the fatigue charateristics of plain concrete in water and seawater which is subjected to cyclic loading with constant amplitude. A total of 200 cylindrical specimens (ø10x20 cm), which were made by readymixed concrete, are prepared for this study. From these series of tests, it is observed that the static and fatigue compressive strength of plain concrete in water and seawater is consideraly lower than that in air. The fatigue strength of the concrete in water is decreased with comparision to that in seawater when stress ratio(??)is less than 0.1, but the concrete in water and seawater has similar fatigue characteristics when the stress ratio is not less than 0.1. And it has been found that the fatigue strength of the concrete in water and seawater is affected by the stress ratio.