On the Symmetric Scalar Curvature Problem on Sn
โ Scribed by Antonio Ambrosetti; Andrea Malchiodi
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 162 KB
- Volume
- 170
- Category
- Article
- ISSN
- 0022-0396
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โฆ Synopsis
We discuss some existence results dealing with the scalar curvature problem on S n in the presence of various symmetries.
๐ SIMILAR VOLUMES
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
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,