Quaternionic contact Einstein manifolds

IVANOV, Stefan, Ivan MINCHEV and Dimiter VASSILEV. Quaternionic contact Einstein manifolds. Mathematical Research Letters. Boston, USA: International Press, 2016, vol. 23, No 5, p. 1405-1432. ISSN 1073-2780. Available from: https://dx.doi.org/10.4310/MRL.2016.v23.n5.a8.

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

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Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

United States of America

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

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

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Abstract

V originále

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.

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Links

3SGA5953, interní kód MU

Name: Kvaternionově kontaktní Yamabeho problém (Acronym: The Quaternionic Contact Yamabe Problem) Investor: South-Moravian Region, The Quaternionic Contact Yamabe Problem, Incoming grants