The text however develops basic riemannian geometry , complex manifolds , as well as a detailed theory of semisimple lie groups and symmetric spaces 然而课程还将简单介绍了基本的黎曼几何和复流形的知识,并会详细讨论半单李群和对称空间的理论。
In differential geometry, a complex manifold is a manifold with an atlas of charts to the open unit diskOne must use the open unit disk in Cn as the model space instead of Cn because these are not isomorphic, unlike for real manifolds. in Cn, such that the transition maps are holomorphic.