Extremals for the Sobolev inequality on the seven dimensional quaternionic Heisenberg group and the quaternionic contact Yamabe problem
Differential Geometry
2008-07-30 v3 Analysis of PDEs
Abstract
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 Hesenberg group are explicitly described and the best constant in the Folland-Stein embedding theorem is determined.
Keywords
Cite
@article{arxiv.math/0703044,
title = {Extremals for the Sobolev inequality on the seven dimensional quaternionic Heisenberg group and the quaternionic contact Yamabe problem},
author = {Stefan Ivanov and Ivan Minchev and Dimiter Vassilev},
journal= {arXiv preprint arXiv:math/0703044},
year = {2008}
}
Comments
22 pages, LaTeX 2e, 10pt, exposition extended and clarified, typos corrected, final version to appear in the Journal of the European Math. Soc. (JEMS)