Extremals for the Sobolev inequality on the seven dimensional quaternionic Heisenberg group and the quaternionic contact Yamabe problem

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dc.creatorIvanov, Stefan
dc.creatorMinchev, Ivan
dc.creatorVassilev, Dimiter
dc.date2007-03-01
dc.date2008-07-30
dc.date.accessioned2026-07-07T09:53:35Z
dc.date.available2026-07-07T09:53:35Z
dc.descriptionA complete solution to the quaternionic contact Yamabe problem on the seven dimensional sphere is given. Extremals for the Sobolev inequality on the seven dimensional Hesenberg group are explicitly described and the best constant in the $L^2$ Folland-Stein embedding theorem is determined.
dc.description22 pages, LaTeX 2e, 10pt, exposition extended and clarified, typos corrected, final version to appear in the Journal of the European Math. Soc. (JEMS)
dc.identifierhttps://arxiv.org/abs/math/0703044
dc.identifierhttp://arxiv.org/abs/math/0703044
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166004
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subject58G30, 53C17
dc.titleExtremals for the Sobolev inequality on the seven dimensional quaternionic Heisenberg group and the quaternionic contact Yamabe problem
dc.typetext

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