Classification of k-forms on Rn and the existence of associated geometry on manifolds
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F20%3A00523871" target="_blank" >RIV/67985840:_____/20:00523871 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.22405/2226-8383-2020-21-2-362-382" target="_blank" >https://doi.org/10.22405/2226-8383-2020-21-2-362-382</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.22405/2226-8383-2020-21-2-362-382" target="_blank" >10.22405/2226-8383-2020-21-2-362-382</a>
Alternative languages
Result language
angličtina
Original language name
Classification of k-forms on Rn and the existence of associated geometry on manifolds
Original language description
In this paper we survey methods and results of classification of ????-forms (resp. ????-vectors on R????), understood as description of the orbit space of the standard GL(????,R)-action on Λ????R????* (resp. on Λ????R????). We discuss the existence of related geometry defined by differential forms on smooth manifolds. This paper also contains an Appendix by Mikhail Borovoi on Galois cohomology methods for finding real forms of complex orbits.
Czech name
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Czech description
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Classification
Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GA18-00496S" target="_blank" >GA18-00496S: Singular spaces from special holonomy and foliations</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Chebyshevskii Sbornik
ISSN
2226-8383
e-ISSN
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Volume of the periodical
21
Issue of the periodical within the volume
2
Country of publishing house
RU - RUSSIAN FEDERATION
Number of pages
21
Pages from-to
362-382
UT code for WoS article
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EID of the result in the Scopus database
2-s2.0-85086099550