Holonomy groups of pseudo-quaternionic-Kählerian manifolds of non-zero scalar curvature

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F11%3A00049658" target="_blank" >RIV/00216224:14310/11:00049658 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Holonomy groups of pseudo-quaternionic-Kählerian manifolds of non-zero scalar curvature

Original language description

The holonomy group $G$ of a pseudo-quaternionic-K"ahlerian manifold of signature $(4r,4s)$ with non-zero scalar curvature is contained in $Sp(1)cdotSp(r,s)$ and it contains $Sp(1)$. It is proved that either $G$ is irreducible, or $s=r$ and $G$ preserves an isotropic subspace of dimension $4r$, in the last case, there are only two possibilities for the connected component of the identity of such $G$. This gives the classification of possible connected holonomy groups of pseudo-quaternionic-K"ahlerian manifolds of non-zero scalar curvature.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/GD201%2F09%2FH012" target="_blank" >GD201/09/H012: Algebraic and geometric methods and structures</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2011

Confidentiality

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

Name of the periodical

Annals of Global Analysis and Geometry

ISSN

0232-704X

e-ISSN

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Volume of the periodical

39

Issue of the periodical within the volume

1

Country of publishing house

DE - GERMANY

Number of pages

7

Pages from-to

99-105

UT code for WoS article

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EID of the result in the Scopus database

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