Differential Geometry, Lie Groups, and Symmetric Spaces

2 有用 阅微草堂 2015-02-13 22:38:15

symmetric spaces are locally just the Riemannian manifolds of the form Rn X G/K where Rn is a Euclidean n-space, G is a semisimpIe Lie group that has an involutive automorphism whose fixed point set... symmetric spaces are locally just the Riemannian manifolds of the form Rn X G/K where Rn is a Euclidean n-space, G is a semisimpIe Lie group that has an involutive automorphism whose fixed point set is the (essentially) compact group K, and G/K is provided with a G-invariant Riemannian structure. (展开)