2 papers
math.DG2006
Vanishing theorem for irreducible symmetric spaces of noncompact type
Xusheng Liu
We prove the following vanishing theorem. Let M be an irreducible symmetric space of noncompact type whose dimension exceeds 2 and $M\ne SO_0(2,2)/SO(2)\tm SO(2).$ Let E be any vec…
math.DG2006
The partial positivity of the curvature in Riemannian symmetric spaces
Xusheng Liu
In this paper, we determine the partial positivity(resp., negativity) of the curvature of all irreducible Riemannian symmetric spaces. From the classifications of abstract root sys…