Prescribing the scalar curvature on three dimensional spheres

Wael Abdelhedi

doi:10.1016/j.crma.2006.09.012

Differential Geometry

Prescribing the scalar curvature on three dimensional spheres

Presented by: Thierry Aubin

Wael Abdelhedi ¹

¹ Département de mathématiques, faculté des sciences de Sfax, route Soukra, 3018 Sfax, Tunisia

Comptes Rendus. Mathématique, Volume 343 (2006) no. 7, pp. 483-486

Abstract (Original language)
Résumé

By topological arguments, we set sufficient hypotheses for a given function K, on the unit sphere $(S^{3}, g)$ , to be the scalar curvature of a metric conformal to g.

Par des arguments topologiques, on met en évidence des hypothèses suffisantes pour qu'une fonction K, donnée sur la sphère $(S^{3}, g)$ , soit la courbure scalaire d'une métrique conforme à g.

Received: 2006-03-03
Accepted: 2006-09-05
Published online: 2006-10-01

DOI: 10.1016/j.crma.2006.09.012

Author's affiliations:

Wael Abdelhedi ¹

¹ Département de mathématiques, faculté des sciences de Sfax, route Soukra, 3018 Sfax, Tunisia

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     author = {Wael Abdelhedi},
     title = {Prescribing the scalar curvature on three dimensional spheres},
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     pages = {483--486},
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     publisher = {Elsevier},
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     doi = {10.1016/j.crma.2006.09.012},
     language = {en},
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Wael Abdelhedi. Prescribing the scalar curvature on three dimensional spheres. Comptes Rendus. Mathématique, Volume 343 (2006) no. 7, pp. 483-486. doi: 10.1016/j.crma.2006.09.012

References
Cited by

[1] T. Aubin; A. Bahri Méthode de topologie algébrique pour le problème de la courbure scalaire prescrite, J. Math. Pures Appl., Volume 76 (1997), pp. 525-549

[2] A. Bahri Critical Point at Infinity in Some Variational Problem, Pitman Res. Notes Math. Ser., vol. 182, Longman Sci. Tech., Harlow, 1989

[3] A. Bahri; J.M. Coron The scalar curvature problem on the standard three dimensional spheres, J. Funct. Anal., Volume 95 (1991), pp. 106-172

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