…Riemannian geometry includes Euclidean geometry, non-Euclidean geometry, and an infinite number of geometries depending on how { g i j } is chosen, and its ideas brought about a great revolution in the concept of space and the thought of geometry. After Riemann, Riemannian geometry was studied as the theory of invariants of second-order differential forms by EB Christoffel (1829-1900) and CGRicci (1853-1925), but in 1916, A. Einstein used it in the theory of general relativity, which suddenly attracted attention. Around that time, T. Levi-Civita (1873-1941) introduced the concept of parallel transport, and around 1920, E. Cartan developed it into the concept of connection, adding a geometric color to Riemannian geometry. … *Some of the terminology that mentions "Ricci, CG" is listed below. Source | Heibonsha World Encyclopedia 2nd Edition | Information |
…リーマン幾何学はユークリッド幾何学,非ユークリッド幾何学のほか,{gij}のとり方によって無限に多くの幾何学を含み,その思想は空間概念や幾何学の思想に大きな変革をもたらした。リーマン以後,リーマン幾何学はクリストッフェルE.B.Christoffel(1829‐1900),リッチC.G.Ricci(1853‐1925)らによって二次微分形式の不変式論として研究されたが,1916年,A.アインシュタインによって一般相対性理論に用いられて一躍注目を集めることとなった。そのころ,レビ・チビタT.Levi‐Civita(1873‐1941)は平行移動性の概念を導入し,20年ころE.カルタンはそれを接続の概念に発展させたことにより,リーマン幾何学に幾何学的色彩が加わった。… ※「Ricci,C.G.」について言及している用語解説の一部を掲載しています。 出典|株式会社平凡社世界大百科事典 第2版について | 情報 |
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