| 書目名稱 | Mirror Geometry of Lie Algebras, Lie Groups and Homogeneous Spaces | | 編輯 | Lev V. Sabinin | | 視頻video | http://file.papertrans.cn/635/634746/634746.mp4 | | 叢書名稱 | Mathematics and Its Applications | | 圖書封面 |  | | 描述 | As K. Nomizu has justly noted [K. Nomizu, 56], Differential Geometry ever will be initiating newer and newer aspects of the theory of Lie groups. This monograph is devoted to just some such aspects of Lie groups and Lie algebras. New differential geometric problems came into being in connection with so called subsymmetric spaces, subsymmetries, and mirrors introduced in our works dating back to 1957 [L.V. Sabinin, 58a,59a,59b]. In addition, the exploration of mirrors and systems of mirrors is of interest in the case of symmetric spaces. Geometrically, the most rich in content there appeared to be the homogeneous Riemannian spaces with systems of mirrors generated by commuting subsymmetries, in particular, so called tri-symmetric spaces introduced in [L.V. Sabinin, 61b]. As to the concrete geometric problem which needs be solved and which is solved in this monograph, we indicate, for example, the problem of the classification of all tri-symmetric spaces with simple compact groups of motions. Passing from groups and subgroups connected with mirrors and subsymmetries to the corresponding Lie algebras and subalgebras leads to an important new concept of the involutive sum of Lie algebr | | 出版日期 | Book 2004 | | 關(guān)鍵詞 | Lie algebra; Lie group; Riemannian manifold; brandonwiskunde; curvature; differential geometry | | 版次 | 1 | | doi | https://doi.org/10.1007/1-4020-2545-9 | | isbn_softcover | 978-90-481-6676-3 | | isbn_ebook | 978-1-4020-2545-7 | | copyright | Springer Science+Business Media B.V. 2004 |
The information of publication is updating
書目名稱Mirror Geometry of Lie Algebras, Lie Groups and Homogeneous Spaces影響因子(影響力)
書目名稱Mirror Geometry of Lie Algebras, Lie Groups and Homogeneous Spaces影響因子(影響力)學(xué)科排名
書目名稱Mirror Geometry of Lie Algebras, Lie Groups and Homogeneous Spaces網(wǎng)絡(luò)公開度
書目名稱Mirror Geometry of Lie Algebras, Lie Groups and Homogeneous Spaces網(wǎng)絡(luò)公開度學(xué)科排名
書目名稱Mirror Geometry of Lie Algebras, Lie Groups and Homogeneous Spaces被引頻次
書目名稱Mirror Geometry of Lie Algebras, Lie Groups and Homogeneous Spaces被引頻次學(xué)科排名
書目名稱Mirror Geometry of Lie Algebras, Lie Groups and Homogeneous Spaces年度引用
書目名稱Mirror Geometry of Lie Algebras, Lie Groups and Homogeneous Spaces年度引用學(xué)科排名
書目名稱Mirror Geometry of Lie Algebras, Lie Groups and Homogeneous Spaces讀者反饋
書目名稱Mirror Geometry of Lie Algebras, Lie Groups and Homogeneous Spaces讀者反饋學(xué)科排名
|
|
|
|Archiver|手機版|小黑屋|
派博傳思國際
( 京公網(wǎng)安備110108008328)
GMT+8, 2025-10-7 17:08
發(fā)表于 2025-3-21 16:43:48
