IVANOV, Stefan, Ivan MINCHEV and Dimiter VASSILEV. Quaternionic contact Einstein manifolds. Mathematical Research Letters. Boston, USA: International Press, vol. 23, No 5, p. 1405-1432. ISSN 1073-2780. doi:10.4310/MRL.2016.v23.n5.a8. 2016.
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Basic information
Original name Quaternionic contact Einstein manifolds
Authors IVANOV, Stefan (100 Bulgaria), Ivan MINCHEV (100 Bulgaria, guarantor, belonging to the institution) and Dimiter VASSILEV (100 Bulgaria).
Edition Mathematical Research Letters, Boston, USA, International Press, 2016, 1073-2780.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher United States of America
Confidentiality degree is not subject to a state or trade secret
WWW URL
Impact factor Impact factor: 0.716
RIV identification code RIV/00216224:14310/16:00093992
Organization unit Faculty of Science
Doi http://dx.doi.org/10.4310/MRL.2016.v23.n5.a8
UT WoS 000393010600008
Keywords in English quaternionic contact structures; qc-conformal flatness; qc-conformal curvature; Einstein structures
Tags AKR, rivok
Changed by Changed by: Ing. Andrea Mikešková, učo 137293. Changed: 10/4/2017 21:29.
Abstract
We show that a seven dimensional quaternionic contact Einstein manifold has constant qc-scalar curvature. In addition, we characterize qc-Einstein structures with certain flat vertical connection and develop their local structure equations. Finally, regular qc-Ricci flat structures are shown to fiber over hyper-Kähler manifolds.
Links
3SGA5953, interní kód MUName: Kvaternionově kontaktní Yamabeho problém (Acronym: The Quaternionic Contact Yamabe Problem)
Investor: South-Moravian Region, The Quaternionic Contact Yamabe Problem, Incoming grants
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