Geodesic
Extremals for the Sobolev inequality on the seven-dimensional quaternionic Heisenberg group and the quaternionic contact Yamabe problem
Journal of the European Mathematical Society, Tome 12 (2010) no. 4, pp. 1041-1067.

Voir la notice de l'article provenant de la source EMS Press

A complete solution to the quaternionic contact Yamabe problem on the seven dimensional sphere is given. Extremals for the Sobolev inequality on the seven dimensional Heisenberg group are explicitly described and the best constant in the L2 Folland–Stein embedding theorem is determined.
DOI : 10.4171/jems/222
Classification : 58-XX, 53-XX, 00-XX
Keywords: Yamabe equation, quaternionic contact structures, Einstein structures 
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     author = {Stefan Ivanov and Ivan Minchev and Dimiter Vassilev},
     title = {Extremals for the {Sobolev} inequality on the seven-dimensional quaternionic {Heisenberg} group and the quaternionic contact {Yamabe} problem},
     journal = {Journal of the European Mathematical Society},
     pages = {1041--1067},
     publisher = {mathdoc},
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     year = {2010},
     doi = {10.4171/jems/222},
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Stefan Ivanov; Ivan Minchev; Dimiter Vassilev. Extremals for the Sobolev inequality on the seven-dimensional quaternionic Heisenberg group and the quaternionic contact Yamabe problem. Journal of the European Mathematical Society, Tome 12 (2010) no. 4, pp. 1041-1067. doi : 10.4171/jems/222. http://geodesic.mathdoc.fr/articles/10.4171/jems/222/

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