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 Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

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 
@article{JEMS_2010_12_4_a6,
     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},
     year = {2010},
     volume = {12},
     number = {4},
     doi = {10.4171/jems/222},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/222/}
}
TY  - JOUR
AU  - Stefan Ivanov
AU  - Ivan Minchev
AU  - Dimiter Vassilev
TI  - Extremals for the Sobolev inequality on the seven-dimensional quaternionic Heisenberg group and the quaternionic contact Yamabe problem
JO  - Journal of the European Mathematical Society
PY  - 2010
SP  - 1041
EP  - 1067
VL  - 12
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4171/jems/222/
DO  - 10.4171/jems/222
ID  - JEMS_2010_12_4_a6
ER  - 
%0 Journal Article
%A Stefan Ivanov
%A Ivan Minchev
%A Dimiter Vassilev
%T Extremals for the Sobolev inequality on the seven-dimensional quaternionic Heisenberg group and the quaternionic contact Yamabe problem
%J Journal of the European Mathematical Society
%D 2010
%P 1041-1067
%V 12
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4171/jems/222/
%R 10.4171/jems/222
%F JEMS_2010_12_4_a6
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

Cité par Sources :