Multisymplectic 3-forms on 7-dimensional manifolds

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Multisymplectic 3-forms on 7-dimensional manifolds

Popis výsledku v původním jazyce

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

Název v anglickém jazyce

Multisymplectic 3-forms on 7-dimensional manifolds

Popis výsledku anglicky

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

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2018

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Differential Geometry and its Application

ISSN

0926-2245

e-ISSN

—

Svazek periodika

2018[58]

Číslo periodika v rámci svazku

6

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

21

Strana od-do

120-140

Kód UT WoS článku

000430147200007

EID výsledku v databázi Scopus

2-s2.0-85044625827