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Scalar Curvature and Asymptotic Symmetric Spaces

โœ Scribed by Mario Listing

Publisher
Springer
Year
2009
Tongue
English
Weight
411 KB
Volume
287
Category
Article
ISSN
0010-3616

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๐Ÿ“œ SIMILAR VOLUMES

Scalar curvature estimates for compact s
Scalar curvature estimates for compact symmetric spaces
โœ S. Goette; U. Semmelmann ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 134 KB

We establish extremality of Riemannian metrics g with non-negative curvature operator on symmetric spaces M = G/K of compact type with rk Grk K 1. Let แธก be another metric with scalar curvature ฮบ, such that แธก g on 2-vectors. We show that ฮบ ฮบ everywhere on M implies ฮบ = ฮบ. Under an additional conditio