On symmetric finsler spaces ofHp-scalar curvature and scalar curvature
โ Scribed by B. B. Sinha; A. Ram
- Publisher
- Springer Netherlands
- Year
- 1986
- Tongue
- English
- Weight
- 386 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0031-5303
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๐ SIMILAR VOLUMES
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
We discuss some existence results dealing with the scalar curvature problem on S n in the presence of various symmetries.
Let (S",go) be the unit sphere of Iw"+' endowed with its standard metric. On one hand, according to the obstructions of Kazdan-Warner and Bourguignon-Ezin, the functions of t,he type 1 +hod, where h is a first spherical harmonic and where q4 is a conformal diffeomorphism of S", are not the scalar c