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Existence of conformal metrics on spheres with prescribed Paneitz curvature
In this paper we study the problem of prescribing a fourth order conformal invariant (the Paneitz curvature) on the n-spheres, with n >= 5. Using tools from the theory of critical points at infinity, we provide some topological conditions on the level sets of a given function defined on the spher...
| Autores principales: | , |
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| Lenguaje: | eng |
| Publicado: |
2003
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| Materias: | |
| Acceso en línea: | http://cds.cern.ch/record/747011 |
| Sumario: | In this paper we study the problem of prescribing a fourth order conformal invariant (the Paneitz curvature) on the n-spheres, with n >= 5. Using tools from the theory of critical points at infinity, we provide some topological conditions on the level sets of a given function defined on the sphere, under which we prove the existence of conformal metric with prescribed Paneitz curvature. |
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