Filtry
About holonomy of supermanifolds
Holonomy groups and holonomy algebras of connections on locally free sheaves over supermanifolds are introduced and their properties are discussed....
BA - Obecná matematika
- 2007 •
- D
Rok uplatnění
D - Stať ve sborníku
Metrization of linear connection, holonomy groups and holonomy algebras
The problem of finding a metric compatible with the given connection, and deciding the existence, is solved here by means of the Lie algebra of the holonomy group....
BA - Obecná matematika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
About holonomy algebras of linear connections on supermanifolds
Holonomy groups and holonomy algebras for linear connections on supermanifolds are introduced. Their properties are studied....
BA - Obecná matematika
- 2008 •
- D
Rok uplatnění
D - Stať ve sborníku
Holonomy groups of Lorentzian manifolds
This paper contains a survey of recent results on classification of the connected holonomy groups of Lorentzian manifolds. A simplification of the construction of Lorentzian metrics with all possible connected holonomy ...
BA - Obecná matematika
- 2015 •
- Jx •
- Odkaz
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Holonomy groups of Lorentzian manifolds: classification, examples, and applications
We review recent developments in the theory of Lorentzian holonomy groups, nonirreducible Lorentzian holonomy groups, explain the idea of its proof, and describe a method of constructing metrics which realise all t...
BA - Obecná matematika
- 2008 •
- C •
- Odkaz
Rok uplatnění
C - Kapitola v odborné knize
Výsledek na webu
Recent developments in pseudo-Riemannian holonomy theory
We give an overview of some recent developments in pseudo-Riemannian holonomy theory...
BA - Obecná matematika
- 2010 •
- C •
- Odkaz
Rok uplatnění
C - Kapitola v odborné knize
Výsledek na webu
Holonomy of supermanifolds
Holonomy groups and holonomy algebras for connections on locally free sheaves sections and holonomy-invariant vectors, and a one-to-one correspondence between parallel locally direct subsheaves and holonomy
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Holonomy groups of pseudo-quaternionic-Kählerian manifolds of non-zero scalar curvature
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...
BA - Obecná matematika
- 2011 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Conformally flat Lorentzian manifolds with special holonomy groups
We obtain a local classification of conformally flat Lorentzian manifolds with special holonomy groups. The corresponding local metrics are certain extensions of Riemannian spaces of constant sectional curvature to Walker metrics....
BA - Obecná matematika
- 2013 •
- Jx •
- Odkaz
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Holonomy Classification of Lorentz-Kähler Manifolds
The classification problem for holonomy of pseudo-Riemannian manifolds is actual and open. In the present paper, holonomy algebras of Lorentz-Kähler manifolds are classified. A simple construction of a metric for each holonomy
Pure mathematics
- 2019 •
- Jimp •
- Odkaz
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
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