Prescribing Q-curvature on higher dimensional spheres | Zendy

Khalil El Mehdi | Zendy

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Prescribing Q-curvature on higher dimensional spheres

Author(s) -

Khalil El Mehdi

Publication year - 2005

Publication title -

annales mathématiques blaise pascal

Language(s) - English

Resource type - Journals

eISSN - 2118-7436

pISSN - 1259-1734

DOI - 10.5802/ambp.207

Subject(s) - infinity , spheres , conformal map , invariant (physics) , curvature , mathematics , flow (mathematics) , order (exchange) , mathematical analysis , topology (electrical circuits) , pure mathematics , combinatorics , geometry , physics , mathematical physics , astronomy , finance , economics

We study the problem of prescribing a fourth order conformal invariant on higher dimensional spheres. Particular attention is paid to the blow-up points, i.e. the critical points at infinity of the corresponding variational problem. Using topological tools and a careful analysis of the gradient flow lines in the neighborhood of such critical points at infinity, we prove some existence results.

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