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Solution of the qc
Yamabe equation on a 3-Sasakian manifold and the quaternionic
Heisenberg group
Stefan Ivanov, Ivan Minchev and Dimiter Vassilev |
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Vol. 16 (2023), No. 3, 839–860
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Abstract |
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A complete solution to the quaternionic contact Yamabe equation on the qc sphere of dimension as well as on the quaternionic Heisenberg group is given. A uniqueness theorem for the qc Yamabe problem in a compact locally 3-Sasakian manifold is shown. |
Keywords
Yamabe equation, quaternionic contact structures, Einstein
structures, divergence formula, Folland–Stein inequality,
Heisenberg group
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Mathematical Subject Classification
Primary: 53C17
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Milestones
Received: 13 February 2021
Accepted: 1 September 2021
Published: 25 May 2023
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Authors |
| Stefan Ivanov | ||
| Faculty of Mathematics and
Informatics University of Sofia Sofia Bulgaria |
Institute of Mathematics and
Informatics Bulgarian Academy of Sciences Sofia Bulgaria |
Department of Mathematics University of Pennsylvania Philadelphia, PA United States |
| Ivan Minchev | ||
| Faculty of Mathematics and
Informatics University of Sofia Sofia Bulgaria |
Department of Mathematics and
Statistics Masaryk University Brno Czech Republic |
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| Dimiter Vassilev | ||
| Department of Mathematics and
Statistics University of New Mexico Albuquerque, NM United States |
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| © 2023 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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