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Curvature Estimates for Irreducible Symmetric Spaces

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Abstract

By making use of the classification of real simple Lie algebra, we get the maximum of the squared length of restricted roots case by case, and thus get the upper bounds of sectional curvature for irreducible Riemannian symmetric spaces of compact type. As an application, this paper verifies Sampson’s conjecture in most cases for irreducible Riemannian symmetric spaces of noncompact type.

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Authors and Affiliations

  1. School of Mathematical Sciences, Fudan University, Shanghai 200433, China

    Xusheng Liu

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  1. Xusheng Liu
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Correspondence to Xusheng Liu.

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Liu, X. Curvature Estimates for Irreducible Symmetric Spaces. Chin. Ann. Math. Ser. B 27, 287–302 (2006). https://doi.org/10.1007/s11401-004-0495-4

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  • DOI: https://doi.org/10.1007/s11401-004-0495-4

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