Results 81 to 90 of about 200,533 (263)

Сurvature-torsion tensor for Cartan connection

open access: yesДифференциальная геометрия многообразий фигур, 2019
A Lie group containing a subgroup is considered. Such a group is a principal bundle, a typical fiber of this principal bundle is the subgroup and a base is a homogeneous space, which is obtained by factoring the group by the subgroup.
Yu. Shevchenko
doaj   +1 more source

Four Equivalent Versions of Non-Abelian Gerbes

open access: yes, 2013
We recall and partially improve four versions of smooth, non-abelian gerbes: Cech cocycles, classifying maps, bundle gerbes, and principal 2-bundles. We prove that all these four versions are equivalent, and so establish new relations between interesting
Nikolaus, Thomas, Waldorf, Konrad
core   +1 more source

Real‐time assay of ribonucleotide reductase activity with a fluorescent RNA aptamer

open access: yesFEBS Letters, EarlyView.
Ribonucleotide reductases (RNR) synthesize DNA building blocks de novo, making them crucial in DNA replication and drug targeting. FLARE introduces the first single‐tube real‐time coupled RNR assay, which enables isothermal tracking of RNR activity at nanomolar enzyme levels and allows the reconstruction of allosteric regulatory patterns and rapid ...
Jacopo De Capitani   +4 more
wiley   +1 more source

Differential geometry of collective models

open access: yesAIMS Mathematics, 2019
The classical astrophysical theory of Riemann ellipsoids and the quantum nuclear theory of Bohr and Mottelson share a common mathematical foundation in terms of the differential geometry of a principal bundle ${\cal P}$ and its associated vector bundle E,
George Rosensteel
doaj   +1 more source

On principal connection like bundles [PDF]

open access: yesCzechoslovak Mathematical Journal, 2014
Let \(\mathcal{PB}_m\) be the category of all principal fibred bundles with \(m\)-dimensional bases and their principal bundle homomorphisms covering embeddings. The author introduces the concepts of \((r,m)\)-system and product-preserving \((r,m)\)-system.
openaire   +2 more sources

Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation

open access: yesFEBS Letters, EarlyView.
Protein pyrophosphorylation is an unusual signaling mechanism that was discovered two decades ago. It can be driven by inositol pyrophosphate messengers and influences various cellular processes. Herein, we summarize the research progress and challenges of this field, covering pathways found to be regulated by this posttranslational modification as ...
Sarah Lampe   +3 more
wiley   +1 more source

An Approach to Classical Quantum Field Theory Based on the Geometry of Locally Conformally Flat Space-Time

open access: yesAdvances in Mathematical Physics, 2017
This paper gives an introduction to certain classical physical theories described in the context of locally Minkowskian causal structures (LMCSs). For simplicity of exposition we consider LMCSs which have locally Euclidean topology (i.e., are manifolds ...
John Mashford
doaj   +1 more source

The role of histone modifications in transcription regulation upon DNA damage

open access: yesFEBS Letters, EarlyView.
This review discusses the critical role of histone modifications in regulating gene expression during the DNA damage response (DDR). By modulating chromatin structure and recruiting repair factors, these post‐translational modifications fine‐tune transcriptional programmes to maintain genomic stability.
Angelina Job Kolady, Siyao Wang
wiley   +1 more source

Power maps and principal bundles [PDF]

open access: yesProceedings of the American Mathematical Society, 1977
Let G be a path connected topological group. We investigate the integers m for which the mth power map on G extends to an overmap of principal G-bundles.
openaire   +2 more sources

Moduli spaces of framed $G$--Higgs bundles and symplectic geometry

open access: yes, 2019
Let $X$ be a compact connected Riemann surface, $D\, \subset\, X$ a reduced effective divisor, $G$ a connected complex reductive affine algebraic group and $H_x\, \subsetneq\, G_x$ a Zariski closed subgroup for every $x\, \in\, D$. A framed principal $G$-
Biswas, Indranil   +2 more
core   +1 more source

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