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Vafa-Witten Estimates for Compact Symmetric Spaces

✍ Scribed by Sebastian Goette


Publisher
Springer
Year
2007
Tongue
English
Weight
209 KB
Volume
271
Category
Article
ISSN
0010-3616

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📜 SIMILAR VOLUMES


Scalar curvature estimates for compact s
✍ S. Goette; U. Semmelmann 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 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 ḡ be another metric with scalar curvature κ, such that ḡ g on 2-vectors. We show that κ κ everywhere on M implies κ = κ. Under an additional conditio