The partial positivity of the curvature in Riemannian symmetric spaces

Details The partial positivity of the curvature in Riemannian symmetric spaces The partial positivity of the curvature in Riemannian symmetric spaces

2006-09-28

arxiv.org/abs/math/0609821v1

Mathematics

Differential Geometry

25 pages

Scientific paper

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 systems and maximal subsystems, we can give
the calculations for symmetric spaces both in classical types and in
exceptional types.

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