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Prescribing symmetric scalar curvature onS2

โœ Scribed by Min Ji

Publisher
Springer
Year
1999
Tongue
English
Weight
257 KB
Volume
44
Category
Article
ISSN
1001-6538

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๐Ÿ“œ SIMILAR VOLUMES

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Conditions on the geometric structure of a complete Riemannian manifold are given to solve the prescribed scalar curvature problem. In some cases, the conformal metric obtained is complete. A minimizing sequence is constructed which converges strongly to a solution. ยฉ Academic des ScienceslElsevier,

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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