Curvature of quaternionic skew‐Hermitian manifolds and bundle constructions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F24%3AA25039AR" target="_blank" >RIV/61988987:17310/24:A25039AR - isvavai.cz</a>
Result on the web
<a href="https://onlinelibrary.wiley.com/doi/10.1002/mana.202400301" target="_blank" >https://onlinelibrary.wiley.com/doi/10.1002/mana.202400301</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/mana.202400301" target="_blank" >10.1002/mana.202400301</a>

Result language
angličtina
Original language name
Curvature of quaternionic skew‐Hermitian manifolds and bundle constructions
Original language description
This paper is devoted to a description of the second‐order differential geometry of torsion‐free almost quaternionic skew‐Hermitian manifolds, that is, of quaternionic skew‐Hermitian manifolds . We provide a curvature characterization of such integrable geometric structures, based on the holonomy theory of symplectic connections and we study qualitative properties of the induced Ricci tensor. Then, we proceed with bundle constructions over such a manifold . In particular, we prove the existence of almost hypercomplex skew‐Hermitian structures on the Swann bundle over <jats:italic>M</jats:italic> and investigate their integrability.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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