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math.DG2000★ 29 cited
Scalar curvature estimates for compact symmetric spaces
S. Goette, U. Semmelmann
We establish extremality of Riemannian metrics g with non-negative curvature operator on symmetric spaces M=G/K of compact type with rk(G)-rk(K)\le 1. Let g' be another metric with…
math.DG2000
Vanshing Theorems for Quaternionic Kaehler Manifolds
Uwe Semmelmann, Gregor Weingart
We discuss a peculiar interplay between the representation theory of the holonomy group of a Riemannian manifold, the Weitzenboeck formula for the Hodge-Laplace operator on forms a…