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Showing 2006 · math.DGShow all
4 papers · 2 filters
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…
math.DG2006
Injectivity radius and Cartan polyhedron for simply connected symmetric spaces
Ling Yang
We explore relationship between the cut locus of an arbitrary simply connected and compact Riemannian symmetric space and the Cartan polyhedron of corresponding restricted root sys…
math.DG2006
Small Covers over Prisms
Mingzhong Cai, Xin Chen, Zhi Lü
In this paper we calculate the number of equivariant diffeomorphism classes of small covers over a prism.