Multisymplectic 3-forms on 7-dimensional manifolds

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10387918" target="_blank" >RIV/00216208:11320/18:10387918 - isvavai.cz</a>
Result on the web
<a href="https://arxiv.org/pdf/1110.5605.pdf" target="_blank" >https://arxiv.org/pdf/1110.5605.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.difgeo.2018.01.004" target="_blank" >10.1016/j.difgeo.2018.01.004</a>

Result language
angličtina
Original language name
Multisymplectic 3-forms on 7-dimensional manifolds
Original language description
A 3-form on 7 dimensional vector space is called multisymplectic if it satisfies some natural non-degeneracy requirement. It is well known that there are 8 orbits (or types) of multisymplectic 3-forms on under the canonical action of the general linear group and that two types are open. This leads to 8 types of global multisymplectic 3-forms on 7-dimensional manifolds without boundary. The existence of a global multisymplectic 3-form of a fixed type is a classical problem in differential topology which is equivalent to the existence of a certain G-structure. The open types are the most interesting cases as they are equivalent to G_2-structure. The existence of these two structures is a well known and solved problem. In this article is solved (under some convenient assumptions) the problem of the existence of multisymplectic 3-forms of the remaining types
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
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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