The text however develops basic Riemannian Geometry, Complex Manifolds, as well as a detailed theory of Semisimple Lie Groups and Symmetric Spaces. 然而課程還將簡(jiǎn)單介紹了基本的黎曼幾何和復流形的知識，并會(huì )詳細討論半單李群和對稱(chēng)空間的理論。
Any symmetric space corresponds to a Lie group and an involution of it.The associated twisted conjugate action is related to the involution. 每個(gè)對稱(chēng)空間對應著(zhù)一個(gè)李群及這個(gè)李群的一個(gè)對合自同構，相應的扭共軛作用與這個(gè)對合自同構有關(guān)。
