Homogeneous almost complex structures in dimension 6 with semi-simple isotropy

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F14%3A00080231" target="_blank" >RIV/00216224:14310/14:00080231 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s10455-014-9428-y" target="_blank" >http://dx.doi.org/10.1007/s10455-014-9428-y</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10455-014-9428-y" target="_blank" >10.1007/s10455-014-9428-y</a>

Result language
angličtina
Original language name
Homogeneous almost complex structures in dimension 6 with semi-simple isotropy
Original language description
We classify invariant almost complex structures on homogeneous manifolds of dimension 6 with semi-simple isotropy. Those with non-degenerate Nijenhuis tensor have the automorphism group of dimension either 14 or 9. An invariant almost complex structure with semi-simple isotropy is necessarily either of specified 6 homogeneous types or a left-invariant structure on a Lie group. For integrable invariant almost complex structures we classify all compatible invariant Hermitian structures on these homogeneous manifolds, indicate their integrability properties (Kahler, SNK, SKT) and mark the other interesting geometric properties (including the Gray-Hervella type).
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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