The Partial Positivity of the Curvature in Riemannian Symmetric Spaces

Citation:

Xusheng LIU.The Partial Positivity of the Curvature in Riemannian Symmetric Spaces[J].Chinese Annals of Mathematics B,2008,29(3):317~332
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Authors:

Xusheng LIU;
Abstract: In this paper, the partial positivity (resp., negativity) of the curvature of all irreducible Riemannian symmetric spaces is determined. From the classifications of abstract root systems and maximal subsystems, the author gives the calculations for symmetric spaces both in classical types and in exceptional types.

Keywords:

Partial positivity, Symmetric space, Semi-simple Lie algebra

Classification:

22E60, 53C35, 53C43
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