Homogeneous 8-manifolds admitting invariant Spin(7)-structures

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F20%3A50017249" target="_blank" >RIV/62690094:18470/20:50017249 - isvavai.cz</a>
Result on the web
<a href="https://www.worldscientific.com/doi/abs/10.1142/S0129167X20500603" target="_blank" >https://www.worldscientific.com/doi/abs/10.1142/S0129167X20500603</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0129167X20500603" target="_blank" >10.1142/S0129167X20500603</a>

Result language
angličtina
Original language name
Homogeneous 8-manifolds admitting invariant Spin(7)-structures
Original language description
We study compact, simply connected, homogeneous 8-manifolds admitting invariant Spin(7)-structures, classifying all canonical presentations G/H of such spaces, with G simply connected. For each presentation, we exhibit explicit examples of invariant Spin(7)-structures and we describe their type, according to Fernandez classification. Finally, we analyze the associated Spin(7)-connection 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/GJ19-14466Y" target="_blank" >GJ19-14466Y: Special metrics in supergravity and new G-structures</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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