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

Stefan Ivanov; Ivan Minchev; Dimiter Vassilev

Journal of the European Mathematical Society (2010)

  • Volume: 012, Issue: 4, page 1041-1067
  • ISSN: 1435-9855

Abstract

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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.

How to cite

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Ivanov, Stefan, Minchev, Ivan, and Vassilev, Dimiter. "Extremals for the Sobolev inequality on the seven-dimensional quaternionic Heisenberg group and the quaternionic contact Yamabe problem." Journal of the European Mathematical Society 012.4 (2010): 1041-1067. <http://eudml.org/doc/277428>.

@article{Ivanov2010,
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 Heisenberg group are explicitly described and the best constant in the L2 Folland–Stein embedding theorem is determined.},
author = {Ivanov, Stefan, Minchev, Ivan, Vassilev, Dimiter},
journal = {Journal of the European Mathematical Society},
keywords = {Yamabe equation; quaternionic contact structures; Einstein structures; Yamabe equation; quaternionic contact structures; Einstein structures},
language = {eng},
number = {4},
pages = {1041-1067},
publisher = {European Mathematical Society Publishing House},
title = {Extremals for the Sobolev inequality on the seven-dimensional quaternionic Heisenberg group and the quaternionic contact Yamabe problem},
url = {http://eudml.org/doc/277428},
volume = {012},
year = {2010},
}

TY - JOUR
AU - Ivanov, Stefan
AU - Minchev, Ivan
AU - Vassilev, Dimiter
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
PB - European Mathematical Society Publishing House
VL - 012
IS - 4
SP - 1041
EP - 1067
AB - 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.
LA - eng
KW - Yamabe equation; quaternionic contact structures; Einstein structures; Yamabe equation; quaternionic contact structures; Einstein structures
UR - http://eudml.org/doc/277428
ER -

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