Submaximally symmetric quaternion Hermitian structures

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F20%3A00114553" target="_blank" >RIV/00216224:14310/20:00114553 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1142/S0129167X20500846" target="_blank" >https://doi.org/10.1142/S0129167X20500846</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0129167X20500846" target="_blank" >10.1142/S0129167X20500846</a>

Result language
angličtina
Original language name
Submaximally symmetric quaternion Hermitian structures
Original language description
We consider and resolve the gap problem for almost quaternion-Hermitian structures, i.e. we determine the maximal and submaximal symmetry dimensions, both for Lie algebras and Lie groups, in the class of almost quaternion-Hermitian manifolds. We classify all structures with such symmetry dimensions. Geometric properties of the submaximally symmetric spaces are studied, in particular, we identify locally conformally quaternion-Kahler structures as well as quaternion-Kahler with torsion.
Czech name
—
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
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Eduard Čech Institute for algebra, geometry and mathematical physics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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